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Finding the Third Proportional to 132,180,432 and 286,320,288

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Solution

The third proportional to 132,180,432 and 286,320,288 is: 620,207,591.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,180,432 : 286,320,288 = 286,320,288 : x
  2. Step 2: Convert to fraction form
    132,180,432/286,320,288 = 286,320,288/x
  3. Step 3: Cross multiply
    132,180,432x = 286,320,288 × 286,320,288
  4. Step 4: Simplify right side
    132,180,432x = 81,979,307,320,402,944
  5. Step 5: Solve for x
    x = 81,979,307,320,402,944/132,180,432
  6. Step 6: Final answer
    x = 620,207,591.09

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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.