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Finding the Third Proportional to 86,352,126 and 187,053,180

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Solution

The third proportional to 86,352,126 and 187,053,180 is: 405,188,543.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,352,126 : 187,053,180 = 187,053,180 : x
  2. Step 2: Convert to fraction form
    86,352,126/187,053,180 = 187,053,180/x
  3. Step 3: Cross multiply
    86,352,126x = 187,053,180 × 187,053,180
  4. Step 4: Simplify right side
    86,352,126x = 34,988,892,148,112,400
  5. Step 5: Solve for x
    x = 34,988,892,148,112,400/86,352,126
  6. Step 6: Final answer
    x = 405,188,543.34

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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.