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Finding the Third Proportional to 132,668,247 and 287,067,498

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Solution

The third proportional to 132,668,247 and 287,067,498 is: 621,156,533.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,668,247 : 287,067,498 = 287,067,498 : x
  2. Step 2: Convert to fraction form
    132,668,247/287,067,498 = 287,067,498/x
  3. Step 3: Cross multiply
    132,668,247x = 287,067,498 × 287,067,498
  4. Step 4: Simplify right side
    132,668,247x = 82,407,748,407,980,000
  5. Step 5: Solve for x
    x = 82,407,748,407,980,000/132,668,247
  6. Step 6: Final answer
    x = 621,156,533.47

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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.