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Finding the Third Proportional to 132,668,246.25 and 287,067,496.50

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Solution

The third proportional to 132,668,246.25 and 287,067,496.50 is: 621,156,530.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,668,246.25 : 287,067,496.50 = 287,067,496.50 : x
  2. Step 2: Convert to fraction form
    132,668,246.25/287,067,496.50 = 287,067,496.50/x
  3. Step 3: Cross multiply
    132,668,246.25x = 287,067,496.50 × 287,067,496.50
  4. Step 4: Simplify right side
    132,668,246.25x = 82,407,747,546,777,520
  5. Step 5: Solve for x
    x = 82,407,747,546,777,520/132,668,246.25
  6. Step 6: Final answer
    x = 621,156,530.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.