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Finding the Third Proportional to 41,129,046 and 89,338,146

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Solution

The third proportional to 41,129,046 and 89,338,146 is: 194,055,177.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,129,046 : 89,338,146 = 89,338,146 : x
  2. Step 2: Convert to fraction form
    41,129,046/89,338,146 = 89,338,146/x
  3. Step 3: Cross multiply
    41,129,046x = 89,338,146 × 89,338,146
  4. Step 4: Simplify right side
    41,129,046x = 7,981,304,330,717,316
  5. Step 5: Solve for x
    x = 7,981,304,330,717,316/41,129,046
  6. Step 6: Final answer
    x = 194,055,177.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.