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Finding the Third Proportional to 108,084.69 and 153,968.50

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Solution

The third proportional to 108,084.69 and 153,968.50 is: 219,330.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,084.69 : 153,968.50 = 153,968.50 : x
  2. Step 2: Convert to fraction form
    108,084.69/153,968.50 = 153,968.50/x
  3. Step 3: Cross multiply
    108,084.69x = 153,968.50 × 153,968.50
  4. Step 4: Simplify right side
    108,084.69x = 23,706,299,593.69
  5. Step 5: Solve for x
    x = 23,706,299,593.69/108,084.69
  6. Step 6: Final answer
    x = 219,330.78

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.