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Finding the Third Proportional to 108,936 and 235,966.50

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Solution

The third proportional to 108,936 and 235,966.50 is: 511,127.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,936 : 235,966.50 = 235,966.50 : x
  2. Step 2: Convert to fraction form
    108,936/235,966.50 = 235,966.50/x
  3. Step 3: Cross multiply
    108,936x = 235,966.50 × 235,966.50
  4. Step 4: Simplify right side
    108,936x = 55,680,189,122.25
  5. Step 5: Solve for x
    x = 55,680,189,122.25/108,936
  6. Step 6: Final answer
    x = 511,127.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.