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Finding the Third Proportional to 71,301,740 and 156,221,650

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Solution

The third proportional to 71,301,740 and 156,221,650 is: 342,280,622.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,301,740 : 156,221,650 = 156,221,650 : x
  2. Step 2: Convert to fraction form
    71,301,740/156,221,650 = 156,221,650/x
  3. Step 3: Cross multiply
    71,301,740x = 156,221,650 × 156,221,650
  4. Step 4: Simplify right side
    71,301,740x = 24,405,203,928,722,500
  5. Step 5: Solve for x
    x = 24,405,203,928,722,500/71,301,740
  6. Step 6: Final answer
    x = 342,280,622.17

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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.