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Finding the Third Proportional to 204,287,984 and 286,656,520

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Solution

The third proportional to 204,287,984 and 286,656,520 is: 402,235,896.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,287,984 : 286,656,520 = 286,656,520 : x
  2. Step 2: Convert to fraction form
    204,287,984/286,656,520 = 286,656,520/x
  3. Step 3: Cross multiply
    204,287,984x = 286,656,520 × 286,656,520
  4. Step 4: Simplify right side
    204,287,984x = 82,171,960,458,510,400
  5. Step 5: Solve for x
    x = 82,171,960,458,510,400/204,287,984
  6. Step 6: Final answer
    x = 402,235,896.84

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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.