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Finding the Third Proportional to 106,988.34 and 225,911.53

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Solution

The third proportional to 106,988.34 and 225,911.53 is: 477,024.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,988.34 : 225,911.53 = 225,911.53 : x
  2. Step 2: Convert to fraction form
    106,988.34/225,911.53 = 225,911.53/x
  3. Step 3: Cross multiply
    106,988.34x = 225,911.53 × 225,911.53
  4. Step 4: Simplify right side
    106,988.34x = 51,036,019,951.72
  5. Step 5: Solve for x
    x = 51,036,019,951.72/106,988.34
  6. Step 6: Final answer
    x = 477,024.11

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.