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Finding the Third Proportional to 110,102.63 and 232,017.75

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Solution

The third proportional to 110,102.63 and 232,017.75 is: 488,927.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,102.63 : 232,017.75 = 232,017.75 : x
  2. Step 2: Convert to fraction form
    110,102.63/232,017.75 = 232,017.75/x
  3. Step 3: Cross multiply
    110,102.63x = 232,017.75 × 232,017.75
  4. Step 4: Simplify right side
    110,102.63x = 53,832,236,315.06
  5. Step 5: Solve for x
    x = 53,832,236,315.06/110,102.63
  6. Step 6: Final answer
    x = 488,927.82

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.