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Finding the Third Proportional to 132,180,434 and 286,320,292

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Solution

The third proportional to 132,180,434 and 286,320,292 is: 620,207,599.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,180,434 : 286,320,292 = 286,320,292 : x
  2. Step 2: Convert to fraction form
    132,180,434/286,320,292 = 286,320,292/x
  3. Step 3: Cross multiply
    132,180,434x = 286,320,292 × 286,320,292
  4. Step 4: Simplify right side
    132,180,434x = 81,979,309,610,965,264
  5. Step 5: Solve for x
    x = 81,979,309,610,965,264/132,180,434
  6. Step 6: Final answer
    x = 620,207,599.04

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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.