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Finding the Third Proportional to 72,722,319 and 156,982,156

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Solution

The third proportional to 72,722,319 and 156,982,156 is: 338,869,794.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,722,319 : 156,982,156 = 156,982,156 : x
  2. Step 2: Convert to fraction form
    72,722,319/156,982,156 = 156,982,156/x
  3. Step 3: Cross multiply
    72,722,319x = 156,982,156 × 156,982,156
  4. Step 4: Simplify right side
    72,722,319x = 24,643,397,302,408,336
  5. Step 5: Solve for x
    x = 24,643,397,302,408,336/72,722,319
  6. Step 6: Final answer
    x = 338,869,794.60

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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.