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Finding the Third Proportional to 43,168,337,142 and 96,262,473,961

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Solution

The third proportional to 43,168,337,142 and 96,262,473,961 is: 214,658,810,289.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,168,337,142 : 96,262,473,961 = 96,262,473,961 : x
  2. Step 2: Convert to fraction form
    43,168,337,142/96,262,473,961 = 96,262,473,961/x
  3. Step 3: Cross multiply
    43,168,337,142x = 96,262,473,961 × 96,262,473,961
  4. Step 4: Simplify right side
    43,168,337,142x = 9,266,463,893,092,203,233,280
  5. Step 5: Solve for x
    x = 9,266,463,893,092,203,233,280/43,168,337,142
  6. Step 6: Final answer
    x = 214,658,810,289.84

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.