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Finding the Third Proportional to 251,188,020 and 339,270,602

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Solution

The third proportional to 251,188,020 and 339,270,602 is: 458,240,569.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,188,020 : 339,270,602 = 339,270,602 : x
  2. Step 2: Convert to fraction form
    251,188,020/339,270,602 = 339,270,602/x
  3. Step 3: Cross multiply
    251,188,020x = 339,270,602 × 339,270,602
  4. Step 4: Simplify right side
    251,188,020x = 115,104,541,381,442,400
  5. Step 5: Solve for x
    x = 115,104,541,381,442,400/251,188,020
  6. Step 6: Final answer
    x = 458,240,569.68

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.