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Finding the Third Proportional to 71,659,823 and 156,732,237

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Solution

The third proportional to 71,659,823 and 156,732,237 is: 342,800,094.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,659,823 : 156,732,237 = 156,732,237 : x
  2. Step 2: Convert to fraction form
    71,659,823/156,732,237 = 156,732,237/x
  3. Step 3: Cross multiply
    71,659,823x = 156,732,237 × 156,732,237
  4. Step 4: Simplify right side
    71,659,823x = 24,564,994,115,024,168
  5. Step 5: Solve for x
    x = 24,564,994,115,024,168/71,659,823
  6. Step 6: Final answer
    x = 342,800,094.76

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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.