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Finding the Third Proportional to 104,019.19 and 243,850.50

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Solution

The third proportional to 104,019.19 and 243,850.50 is: 571,654.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,019.19 : 243,850.50 = 243,850.50 : x
  2. Step 2: Convert to fraction form
    104,019.19/243,850.50 = 243,850.50/x
  3. Step 3: Cross multiply
    104,019.19x = 243,850.50 × 243,850.50
  4. Step 4: Simplify right side
    104,019.19x = 59,463,066,350.25
  5. Step 5: Solve for x
    x = 59,463,066,350.25/104,019.19
  6. Step 6: Final answer
    x = 571,654.79

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.