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Finding the Third Proportional to 109,064.25 and 230,703.38

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Solution

The third proportional to 109,064.25 and 230,703.38 is: 488,006.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,064.25 : 230,703.38 = 230,703.38 : x
  2. Step 2: Convert to fraction form
    109,064.25/230,703.38 = 230,703.38/x
  3. Step 3: Cross multiply
    109,064.25x = 230,703.38 × 230,703.38
  4. Step 4: Simplify right side
    109,064.25x = 53,224,047,236.39
  5. Step 5: Solve for x
    x = 53,224,047,236.39/109,064.25
  6. Step 6: Final answer
    x = 488,006.36

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.