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Finding the Third Proportional to 115,710,593.34 and 247,113,934.31

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Solution

The third proportional to 115,710,593.34 and 247,113,934.31 is: 527,741,624.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,710,593.34 : 247,113,934.31 = 247,113,934.31 : x
  2. Step 2: Convert to fraction form
    115,710,593.34/247,113,934.31 = 247,113,934.31/x
  3. Step 3: Cross multiply
    115,710,593.34x = 247,113,934.31 × 247,113,934.31
  4. Step 4: Simplify right side
    115,710,593.34x = 61,065,296,531,402,568
  5. Step 5: Solve for x
    x = 61,065,296,531,402,568/115,710,593.34
  6. Step 6: Final answer
    x = 527,741,624.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.