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Finding the Third Proportional to 81,817,023.75 and 176,612,832

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Solution

The third proportional to 81,817,023.75 and 176,612,832 is: 381,242,081.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,817,023.75 : 176,612,832 = 176,612,832 : x
  2. Step 2: Convert to fraction form
    81,817,023.75/176,612,832 = 176,612,832/x
  3. Step 3: Cross multiply
    81,817,023.75x = 176,612,832 × 176,612,832
  4. Step 4: Simplify right side
    81,817,023.75x = 31,192,092,427,060,224
  5. Step 5: Solve for x
    x = 31,192,092,427,060,224/81,817,023.75
  6. Step 6: Final answer
    x = 381,242,081.38

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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.