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Finding the Third Proportional to 71,659,835 and 156,732,261

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Solution

The third proportional to 71,659,835 and 156,732,261 is: 342,800,142.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,659,835 : 156,732,261 = 156,732,261 : x
  2. Step 2: Convert to fraction form
    71,659,835/156,732,261 = 156,732,261/x
  3. Step 3: Cross multiply
    71,659,835x = 156,732,261 × 156,732,261
  4. Step 4: Simplify right side
    71,659,835x = 24,565,001,638,172,120
  5. Step 5: Solve for x
    x = 24,565,001,638,172,120/71,659,835
  6. Step 6: Final answer
    x = 342,800,142.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.