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Finding the Third Proportional to 185,109,264 and 270,849,882.38

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Solution

The third proportional to 185,109,264 and 270,849,882.38 is: 396,304,632.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,109,264 : 270,849,882.38 = 270,849,882.38 : x
  2. Step 2: Convert to fraction form
    185,109,264/270,849,882.38 = 270,849,882.38/x
  3. Step 3: Cross multiply
    185,109,264x = 270,849,882.38 × 270,849,882.38
  4. Step 4: Simplify right side
    185,109,264x = 73,359,658,782,551,328
  5. Step 5: Solve for x
    x = 73,359,658,782,551,328/185,109,264
  6. Step 6: Final answer
    x = 396,304,632.18

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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.