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Finding the Third Proportional to 132,180,414 and 286,320,252

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Solution

The third proportional to 132,180,414 and 286,320,252 is: 620,207,519.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,180,414 : 286,320,252 = 286,320,252 : x
  2. Step 2: Convert to fraction form
    132,180,414/286,320,252 = 286,320,252/x
  3. Step 3: Cross multiply
    132,180,414x = 286,320,252 × 286,320,252
  4. Step 4: Simplify right side
    132,180,414x = 81,979,286,705,343,504
  5. Step 5: Solve for x
    x = 81,979,286,705,343,504/132,180,414
  6. Step 6: Final answer
    x = 620,207,519.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.