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Finding the Third Proportional to 71,659,827 and 156,732,244

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Solution

The third proportional to 71,659,827 and 156,732,244 is: 342,800,106.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,659,827 : 156,732,244 = 156,732,244 : x
  2. Step 2: Convert to fraction form
    71,659,827/156,732,244 = 156,732,244/x
  3. Step 3: Cross multiply
    71,659,827x = 156,732,244 × 156,732,244
  4. Step 4: Simplify right side
    71,659,827x = 24,564,996,309,275,536
  5. Step 5: Solve for x
    x = 24,564,996,309,275,536/71,659,827
  6. Step 6: Final answer
    x = 342,800,106.25

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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.