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Finding the Third Proportional to 108,927 and 235,948.50

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Solution

The third proportional to 108,927 and 235,948.50 is: 511,091.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,927 : 235,948.50 = 235,948.50 : x
  2. Step 2: Convert to fraction form
    108,927/235,948.50 = 235,948.50/x
  3. Step 3: Cross multiply
    108,927x = 235,948.50 × 235,948.50
  4. Step 4: Simplify right side
    108,927x = 55,671,694,652.25
  5. Step 5: Solve for x
    x = 55,671,694,652.25/108,927
  6. Step 6: Final answer
    x = 511,091.78

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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.