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Finding the Third Proportional to 104,628,863 and 172,282,366

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Solution

The third proportional to 104,628,863 and 172,282,366 is: 283,680,934.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,628,863 : 172,282,366 = 172,282,366 : x
  2. Step 2: Convert to fraction form
    104,628,863/172,282,366 = 172,282,366/x
  3. Step 3: Cross multiply
    104,628,863x = 172,282,366 × 172,282,366
  4. Step 4: Simplify right side
    104,628,863x = 29,681,213,634,557,956
  5. Step 5: Solve for x
    x = 29,681,213,634,557,956/104,628,863
  6. Step 6: Final answer
    x = 283,680,934.53

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.