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Finding the Third Proportional to 83,993.63 and 181,347.75

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Solution

The third proportional to 83,993.63 and 181,347.75 is: 391,541.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,993.63 : 181,347.75 = 181,347.75 : x
  2. Step 2: Convert to fraction form
    83,993.63/181,347.75 = 181,347.75/x
  3. Step 3: Cross multiply
    83,993.63x = 181,347.75 × 181,347.75
  4. Step 4: Simplify right side
    83,993.63x = 32,887,006,430.06
  5. Step 5: Solve for x
    x = 32,887,006,430.06/83,993.63
  6. Step 6: Final answer
    x = 391,541.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.