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Finding the Third Proportional to 86,902,569 and 188,751,919

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Solution

The third proportional to 86,902,569 and 188,751,919 is: 409,968,167.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,902,569 : 188,751,919 = 188,751,919 : x
  2. Step 2: Convert to fraction form
    86,902,569/188,751,919 = 188,751,919/x
  3. Step 3: Cross multiply
    86,902,569x = 188,751,919 × 188,751,919
  4. Step 4: Simplify right side
    86,902,569x = 35,627,286,926,182,560
  5. Step 5: Solve for x
    x = 35,627,286,926,182,560/86,902,569
  6. Step 6: Final answer
    x = 409,968,167.07

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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.