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Finding the Third Proportional to 83,414,782.13 and 181,658,791.13

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Solution

The third proportional to 83,414,782.13 and 181,658,791.13 is: 395,612,330.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,414,782.13 : 181,658,791.13 = 181,658,791.13 : x
  2. Step 2: Convert to fraction form
    83,414,782.13/181,658,791.13 = 181,658,791.13/x
  3. Step 3: Cross multiply
    83,414,782.13x = 181,658,791.13 × 181,658,791.13
  4. Step 4: Simplify right side
    83,414,782.13x = 32,999,916,392,996,380
  5. Step 5: Solve for x
    x = 32,999,916,392,996,380/83,414,782.13
  6. Step 6: Final answer
    x = 395,612,330.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.