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Finding the Third Proportional to 101,784,342 and 219,711,438

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Solution

The third proportional to 101,784,342 and 219,711,438 is: 474,268,586.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,784,342 : 219,711,438 = 219,711,438 : x
  2. Step 2: Convert to fraction form
    101,784,342/219,711,438 = 219,711,438/x
  3. Step 3: Cross multiply
    101,784,342x = 219,711,438 × 219,711,438
  4. Step 4: Simplify right side
    101,784,342x = 48,273,115,988,027,840
  5. Step 5: Solve for x
    x = 48,273,115,988,027,840/101,784,342
  6. Step 6: Final answer
    x = 474,268,586.30

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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.