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Finding the Third Proportional to 207,281,736 and 309,780,204

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Solution

The third proportional to 207,281,736 and 309,780,204 is: 462,963,002.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,281,736 : 309,780,204 = 309,780,204 : x
  2. Step 2: Convert to fraction form
    207,281,736/309,780,204 = 309,780,204/x
  3. Step 3: Cross multiply
    207,281,736x = 309,780,204 × 309,780,204
  4. Step 4: Simplify right side
    207,281,736x = 95,963,774,790,281,616
  5. Step 5: Solve for x
    x = 95,963,774,790,281,616/207,281,736
  6. Step 6: Final answer
    x = 462,963,002.15

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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.