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Finding the Third Proportional to 66,313.13 and 135,690.19

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Solution

The third proportional to 66,313.13 and 135,690.19 is: 277,649.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,313.13 : 135,690.19 = 135,690.19 : x
  2. Step 2: Convert to fraction form
    66,313.13/135,690.19 = 135,690.19/x
  3. Step 3: Cross multiply
    66,313.13x = 135,690.19 × 135,690.19
  4. Step 4: Simplify right side
    66,313.13x = 18,411,826,983.79
  5. Step 5: Solve for x
    x = 18,411,826,983.79/66,313.13
  6. Step 6: Final answer
    x = 277,649.82

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.