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Finding the Third Proportional to 207,281,704 and 309,780,156

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Solution

The third proportional to 207,281,704 and 309,780,156 is: 462,962,930.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,281,704 : 309,780,156 = 309,780,156 : x
  2. Step 2: Convert to fraction form
    207,281,704/309,780,156 = 309,780,156/x
  3. Step 3: Cross multiply
    207,281,704x = 309,780,156 × 309,780,156
  4. Step 4: Simplify right side
    207,281,704x = 95,963,745,051,384,336
  5. Step 5: Solve for x
    x = 95,963,745,051,384,336/207,281,704
  6. Step 6: Final answer
    x = 462,962,930.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.