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Finding the Third Proportional to 78,954,435.75 and 176,063,055

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Solution

The third proportional to 78,954,435.75 and 176,063,055 is: 392,608,712.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,954,435.75 : 176,063,055 = 176,063,055 : x
  2. Step 2: Convert to fraction form
    78,954,435.75/176,063,055 = 176,063,055/x
  3. Step 3: Cross multiply
    78,954,435.75x = 176,063,055 × 176,063,055
  4. Step 4: Simplify right side
    78,954,435.75x = 30,998,199,335,933,024
  5. Step 5: Solve for x
    x = 30,998,199,335,933,024/78,954,435.75
  6. Step 6: Final answer
    x = 392,608,712.12

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.