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Finding the Third Proportional to 138,928,032 and 204,229,656

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Solution

The third proportional to 138,928,032 and 204,229,656 is: 300,225,604.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,928,032 : 204,229,656 = 204,229,656 : x
  2. Step 2: Convert to fraction form
    138,928,032/204,229,656 = 204,229,656/x
  3. Step 3: Cross multiply
    138,928,032x = 204,229,656 × 204,229,656
  4. Step 4: Simplify right side
    138,928,032x = 41,709,752,389,878,336
  5. Step 5: Solve for x
    x = 41,709,752,389,878,336/138,928,032
  6. Step 6: Final answer
    x = 300,225,604.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.