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Finding the Third Proportional to 97,502,934,729 and 137,305,617,984

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Solution

The third proportional to 97,502,934,729 and 137,305,617,984 is: 193,356,566,983.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,502,934,729 : 137,305,617,984 = 137,305,617,984 : x
  2. Step 2: Convert to fraction form
    97,502,934,729/137,305,617,984 = 137,305,617,984/x
  3. Step 3: Cross multiply
    97,502,934,729x = 137,305,617,984 × 137,305,617,984
  4. Step 4: Simplify right side
    97,502,934,729x = 18,852,832,729,968,144,285,696
  5. Step 5: Solve for x
    x = 18,852,832,729,968,144,285,696/97,502,934,729
  6. Step 6: Final answer
    x = 193,356,566,983.01

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.