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Finding the Third Proportional to 178,647,117.75 and 386,972,917.88

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Solution

The third proportional to 178,647,117.75 and 386,972,917.88 is: 838,233,726.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,647,117.75 : 386,972,917.88 = 386,972,917.88 : x
  2. Step 2: Convert to fraction form
    178,647,117.75/386,972,917.88 = 386,972,917.88/x
  3. Step 3: Cross multiply
    178,647,117.75x = 386,972,917.88 × 386,972,917.88
  4. Step 4: Simplify right side
    178,647,117.75x = 149,748,039,168,691,488
  5. Step 5: Solve for x
    x = 149,748,039,168,691,488/178,647,117.75
  6. Step 6: Final answer
    x = 838,233,726.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.