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Finding the Third Proportional to 81,817,366.50 and 176,613,454.13

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Solution

The third proportional to 81,817,366.50 and 176,613,454.13 is: 381,243,170.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,817,366.50 : 176,613,454.13 = 176,613,454.13 : x
  2. Step 2: Convert to fraction form
    81,817,366.50/176,613,454.13 = 176,613,454.13/x
  3. Step 3: Cross multiply
    81,817,366.50x = 176,613,454.13 × 176,613,454.13
  4. Step 4: Simplify right side
    81,817,366.50x = 31,192,312,177,963,480
  5. Step 5: Solve for x
    x = 31,192,312,177,963,480/81,817,366.50
  6. Step 6: Final answer
    x = 381,243,170.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.