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Finding the Third Proportional to 115,613,689.50 and 157,472,923.50

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Solution

The third proportional to 115,613,689.50 and 157,472,923.50 is: 214,487,763.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,613,689.50 : 157,472,923.50 = 157,472,923.50 : x
  2. Step 2: Convert to fraction form
    115,613,689.50/157,472,923.50 = 157,472,923.50/x
  3. Step 3: Cross multiply
    115,613,689.50x = 157,472,923.50 × 157,472,923.50
  4. Step 4: Simplify right side
    115,613,689.50x = 24,797,721,635,636,852
  5. Step 5: Solve for x
    x = 24,797,721,635,636,852/115,613,689.50
  6. Step 6: Final answer
    x = 214,487,763.02

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.