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Finding the Third Proportional to 96,694,641 and 149,943,757.50

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Solution

The third proportional to 96,694,641 and 149,943,757.50 is: 232,516,819.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,694,641 : 149,943,757.50 = 149,943,757.50 : x
  2. Step 2: Convert to fraction form
    96,694,641/149,943,757.50 = 149,943,757.50/x
  3. Step 3: Cross multiply
    96,694,641x = 149,943,757.50 × 149,943,757.50
  4. Step 4: Simplify right side
    96,694,641x = 22,483,130,413,218,808
  5. Step 5: Solve for x
    x = 22,483,130,413,218,808/96,694,641
  6. Step 6: Final answer
    x = 232,516,819.76

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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.