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Finding the Third Proportional to 132,668,254 and 287,067,512

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Solution

The third proportional to 132,668,254 and 287,067,512 is: 621,156,561.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,668,254 : 287,067,512 = 287,067,512 : x
  2. Step 2: Convert to fraction form
    132,668,254/287,067,512 = 287,067,512/x
  3. Step 3: Cross multiply
    132,668,254x = 287,067,512 × 287,067,512
  4. Step 4: Simplify right side
    132,668,254x = 82,407,756,445,870,144
  5. Step 5: Solve for x
    x = 82,407,756,445,870,144/132,668,254
  6. Step 6: Final answer
    x = 621,156,561.28

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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.