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Finding the Third Proportional to 71,659,819.13 and 156,732,228.28

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Solution

The third proportional to 71,659,819.13 and 156,732,228.28 is: 342,800,075.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,659,819.13 : 156,732,228.28 = 156,732,228.28 : x
  2. Step 2: Convert to fraction form
    71,659,819.13/156,732,228.28 = 156,732,228.28/x
  3. Step 3: Cross multiply
    71,659,819.13x = 156,732,228.28 × 156,732,228.28
  4. Step 4: Simplify right side
    71,659,819.13x = 24,564,991,382,005,864
  5. Step 5: Solve for x
    x = 24,564,991,382,005,864/71,659,819.13
  6. Step 6: Final answer
    x = 342,800,075.16

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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.