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Finding the Third Proportional to 108,745.13 and 238,766.63

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Solution

The third proportional to 108,745.13 and 238,766.63 is: 524,248.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,745.13 : 238,766.63 = 238,766.63 : x
  2. Step 2: Convert to fraction form
    108,745.13/238,766.63 = 238,766.63/x
  3. Step 3: Cross multiply
    108,745.13x = 238,766.63 × 238,766.63
  4. Step 4: Simplify right side
    108,745.13x = 57,009,501,213.89
  5. Step 5: Solve for x
    x = 57,009,501,213.89/108,745.13
  6. Step 6: Final answer
    x = 524,248.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.