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Finding the Third Proportional to 218,986.50 and 472,155

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Solution

The third proportional to 218,986.50 and 472,155 is: 1,018,009.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,986.50 : 472,155 = 472,155 : x
  2. Step 2: Convert to fraction form
    218,986.50/472,155 = 472,155/x
  3. Step 3: Cross multiply
    218,986.50x = 472,155 × 472,155
  4. Step 4: Simplify right side
    218,986.50x = 222,930,344,025
  5. Step 5: Solve for x
    x = 222,930,344,025/218,986.50
  6. Step 6: Final answer
    x = 1,018,009.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.