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Finding the Third Proportional to 209,707,702 and 314,561,593

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Solution

The third proportional to 209,707,702 and 314,561,593 is: 471,842,449.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,707,702 : 314,561,593 = 314,561,593 : x
  2. Step 2: Convert to fraction form
    209,707,702/314,561,593 = 314,561,593/x
  3. Step 3: Cross multiply
    209,707,702x = 314,561,593 × 314,561,593
  4. Step 4: Simplify right side
    209,707,702x = 98,948,995,790,697,648
  5. Step 5: Solve for x
    x = 98,948,995,790,697,648/209,707,702
  6. Step 6: Final answer
    x = 471,842,449.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.