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Finding the Third Proportional to 81,817,533 and 176,613,817.50

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Solution

The third proportional to 81,817,533 and 176,613,817.50 is: 381,243,963.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,817,533 : 176,613,817.50 = 176,613,817.50 : x
  2. Step 2: Convert to fraction form
    81,817,533/176,613,817.50 = 176,613,817.50/x
  3. Step 3: Cross multiply
    81,817,533x = 176,613,817.50 × 176,613,817.50
  4. Step 4: Simplify right side
    81,817,533x = 31,192,440,531,923,308
  5. Step 5: Solve for x
    x = 31,192,440,531,923,308/81,817,533
  6. Step 6: Final answer
    x = 381,243,963.10

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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.