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Finding the Third Proportional to 185,109,436 and 270,850,101

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Solution

The third proportional to 185,109,436 and 270,850,101 is: 396,304,903.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,109,436 : 270,850,101 = 270,850,101 : x
  2. Step 2: Convert to fraction form
    185,109,436/270,850,101 = 270,850,101/x
  3. Step 3: Cross multiply
    185,109,436x = 270,850,101 × 270,850,101
  4. Step 4: Simplify right side
    185,109,436x = 73,359,777,211,710,208
  5. Step 5: Solve for x
    x = 73,359,777,211,710,208/185,109,436
  6. Step 6: Final answer
    x = 396,304,903.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.