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Finding the Third Proportional to 102,472,215.33 and 223,138,898.09

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Solution

The third proportional to 102,472,215.33 and 223,138,898.09 is: 485,897,252.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,472,215.33 : 223,138,898.09 = 223,138,898.09 : x
  2. Step 2: Convert to fraction form
    102,472,215.33/223,138,898.09 = 223,138,898.09/x
  3. Step 3: Cross multiply
    102,472,215.33x = 223,138,898.09 × 223,138,898.09
  4. Step 4: Simplify right side
    102,472,215.33x = 49,790,967,839,007,520
  5. Step 5: Solve for x
    x = 49,790,967,839,007,520/102,472,215.33
  6. Step 6: Final answer
    x = 485,897,252.05

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.