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Finding the Third Proportional to 204,287,986 and 286,656,523

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Solution

The third proportional to 204,287,986 and 286,656,523 is: 402,235,901.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,287,986 : 286,656,523 = 286,656,523 : x
  2. Step 2: Convert to fraction form
    204,287,986/286,656,523 = 286,656,523/x
  3. Step 3: Cross multiply
    204,287,986x = 286,656,523 × 286,656,523
  4. Step 4: Simplify right side
    204,287,986x = 82,171,962,178,449,536
  5. Step 5: Solve for x
    x = 82,171,962,178,449,536/204,287,986
  6. Step 6: Final answer
    x = 402,235,901.32

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.