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Finding the Third Proportional to 108,848.81 and 256,110.75

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Solution

The third proportional to 108,848.81 and 256,110.75 is: 602,603.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,848.81 : 256,110.75 = 256,110.75 : x
  2. Step 2: Convert to fraction form
    108,848.81/256,110.75 = 256,110.75/x
  3. Step 3: Cross multiply
    108,848.81x = 256,110.75 × 256,110.75
  4. Step 4: Simplify right side
    108,848.81x = 65,592,716,265.56
  5. Step 5: Solve for x
    x = 65,592,716,265.56/108,848.81
  6. Step 6: Final answer
    x = 602,603.88

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.