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Finding the Third Proportional to 101,769.78 and 217,065.62

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Solution

The third proportional to 101,769.78 and 217,065.62 is: 462,981.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,769.78 : 217,065.62 = 217,065.62 : x
  2. Step 2: Convert to fraction form
    101,769.78/217,065.62 = 217,065.62/x
  3. Step 3: Cross multiply
    101,769.78x = 217,065.62 × 217,065.62
  4. Step 4: Simplify right side
    101,769.78x = 47,117,484,814.71
  5. Step 5: Solve for x
    x = 47,117,484,814.71/101,769.78
  6. Step 6: Final answer
    x = 462,981.08

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.