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Finding the Third Proportional to 132,180,374 and 286,320,172

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Solution

The third proportional to 132,180,374 and 286,320,172 is: 620,207,360.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,180,374 : 286,320,172 = 286,320,172 : x
  2. Step 2: Convert to fraction form
    132,180,374/286,320,172 = 286,320,172/x
  3. Step 3: Cross multiply
    132,180,374x = 286,320,172 × 286,320,172
  4. Step 4: Simplify right side
    132,180,374x = 81,979,240,894,109,584
  5. Step 5: Solve for x
    x = 81,979,240,894,109,584/132,180,374
  6. Step 6: Final answer
    x = 620,207,360.69

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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.