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Finding the Third Proportional to 41,902,683 and 91,596,918

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Solution

The third proportional to 41,902,683 and 91,596,918 is: 200,225,732.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,902,683 : 91,596,918 = 91,596,918 : x
  2. Step 2: Convert to fraction form
    41,902,683/91,596,918 = 91,596,918/x
  3. Step 3: Cross multiply
    41,902,683x = 91,596,918 × 91,596,918
  4. Step 4: Simplify right side
    41,902,683x = 8,389,995,387,098,724
  5. Step 5: Solve for x
    x = 8,389,995,387,098,724/41,902,683
  6. Step 6: Final answer
    x = 200,225,732.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.