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Finding the Third Proportional to 103,240.13 and 228,588.75

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Solution

The third proportional to 103,240.13 and 228,588.75 is: 506,128.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,240.13 : 228,588.75 = 228,588.75 : x
  2. Step 2: Convert to fraction form
    103,240.13/228,588.75 = 228,588.75/x
  3. Step 3: Cross multiply
    103,240.13x = 228,588.75 × 228,588.75
  4. Step 4: Simplify right side
    103,240.13x = 52,252,816,626.56
  5. Step 5: Solve for x
    x = 52,252,816,626.56/103,240.13
  6. Step 6: Final answer
    x = 506,128.96

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.