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Finding the Third Proportional to 83,464,454 and 178,415,302

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Solution

The third proportional to 83,464,454 and 178,415,302 is: 381,384,151.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,464,454 : 178,415,302 = 178,415,302 : x
  2. Step 2: Convert to fraction form
    83,464,454/178,415,302 = 178,415,302/x
  3. Step 3: Cross multiply
    83,464,454x = 178,415,302 × 178,415,302
  4. Step 4: Simplify right side
    83,464,454x = 31,832,019,987,751,204
  5. Step 5: Solve for x
    x = 31,832,019,987,751,204/83,464,454
  6. Step 6: Final answer
    x = 381,384,151.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.