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Finding the Third Proportional to 48,230.50 and 105,798

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Solution

The third proportional to 48,230.50 and 105,798 is: 232,077.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,230.50 : 105,798 = 105,798 : x
  2. Step 2: Convert to fraction form
    48,230.50/105,798 = 105,798/x
  3. Step 3: Cross multiply
    48,230.50x = 105,798 × 105,798
  4. Step 4: Simplify right side
    48,230.50x = 11,193,216,804
  5. Step 5: Solve for x
    x = 11,193,216,804/48,230.50
  6. Step 6: Final answer
    x = 232,077.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.