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Finding the Third Proportional to 104,497.59 and 229,019.91

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Solution

The third proportional to 104,497.59 and 229,019.91 is: 501,926.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,497.59 : 229,019.91 = 229,019.91 : x
  2. Step 2: Convert to fraction form
    104,497.59/229,019.91 = 229,019.91/x
  3. Step 3: Cross multiply
    104,497.59x = 229,019.91 × 229,019.91
  4. Step 4: Simplify right side
    104,497.59x = 52,450,117,458.76
  5. Step 5: Solve for x
    x = 52,450,117,458.76/104,497.59
  6. Step 6: Final answer
    x = 501,926.56

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