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Finding the Third Proportional to 43,159,202,502,327 and 93,197,233,373,436

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Solution

The third proportional to 43,159,202,502,327 and 93,197,233,373,436 is: 201,248,489,426,893.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,159,202,502,327 : 93,197,233,373,436 = 93,197,233,373,436 : x
  2. Step 2: Convert to fraction form
    43,159,202,502,327/93,197,233,373,436 = 93,197,233,373,436/x
  3. Step 3: Cross multiply
    43,159,202,502,327x = 93,197,233,373,436 × 93,197,233,373,436
  4. Step 4: Simplify right side
    43,159,202,502,327x = 8,685,724,308,462,692,643,268,198,400
  5. Step 5: Solve for x
    x = 8,685,724,308,462,692,643,268,198,400/43,159,202,502,327
  6. Step 6: Final answer
    x = 201,248,489,426,893.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.