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Finding the Third Proportional to 104,103 and 222,988.50

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Solution

The third proportional to 104,103 and 222,988.50 is: 477,641.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,103 : 222,988.50 = 222,988.50 : x
  2. Step 2: Convert to fraction form
    104,103/222,988.50 = 222,988.50/x
  3. Step 3: Cross multiply
    104,103x = 222,988.50 × 222,988.50
  4. Step 4: Simplify right side
    104,103x = 49,723,871,132.25
  5. Step 5: Solve for x
    x = 49,723,871,132.25/104,103
  6. Step 6: Final answer
    x = 477,641.10

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.