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Finding the Third Proportional to 102,259.13 and 218,733.75

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Solution

The third proportional to 102,259.13 and 218,733.75 is: 467,874.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,259.13 : 218,733.75 = 218,733.75 : x
  2. Step 2: Convert to fraction form
    102,259.13/218,733.75 = 218,733.75/x
  3. Step 3: Cross multiply
    102,259.13x = 218,733.75 × 218,733.75
  4. Step 4: Simplify right side
    102,259.13x = 47,844,453,389.06
  5. Step 5: Solve for x
    x = 47,844,453,389.06/102,259.13
  6. Step 6: Final answer
    x = 467,874.66

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.