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Finding the Third Proportional to 96,694,572 and 149,943,654

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Solution

The third proportional to 96,694,572 and 149,943,654 is: 232,516,664.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,694,572 : 149,943,654 = 149,943,654 : x
  2. Step 2: Convert to fraction form
    96,694,572/149,943,654 = 149,943,654/x
  3. Step 3: Cross multiply
    96,694,572x = 149,943,654 × 149,943,654
  4. Step 4: Simplify right side
    96,694,572x = 22,483,099,374,871,716
  5. Step 5: Solve for x
    x = 22,483,099,374,871,716/96,694,572
  6. Step 6: Final answer
    x = 232,516,664.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.