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Finding the Third Proportional to 102,159.56 and 222,711.56

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Solution

The third proportional to 102,159.56 and 222,711.56 is: 485,519.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,159.56 : 222,711.56 = 222,711.56 : x
  2. Step 2: Convert to fraction form
    102,159.56/222,711.56 = 222,711.56/x
  3. Step 3: Cross multiply
    102,159.56x = 222,711.56 × 222,711.56
  4. Step 4: Simplify right side
    102,159.56x = 49,600,440,071.19
  5. Step 5: Solve for x
    x = 49,600,440,071.19/102,159.56
  6. Step 6: Final answer
    x = 485,519.31

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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.