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Finding the Third Proportional to 55,375,258.50 and 120,198,357

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Solution

The third proportional to 55,375,258.50 and 120,198,357 is: 260,904,335.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,375,258.50 : 120,198,357 = 120,198,357 : x
  2. Step 2: Convert to fraction form
    55,375,258.50/120,198,357 = 120,198,357/x
  3. Step 3: Cross multiply
    55,375,258.50x = 120,198,357 × 120,198,357
  4. Step 4: Simplify right side
    55,375,258.50x = 14,447,645,025,499,448
  5. Step 5: Solve for x
    x = 14,447,645,025,499,448/55,375,258.50
  6. Step 6: Final answer
    x = 260,904,335.56

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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.