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Finding the Third Proportional to 103,293 and 215,862.75

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Solution

The third proportional to 103,293 and 215,862.75 is: 451,112.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,293 : 215,862.75 = 215,862.75 : x
  2. Step 2: Convert to fraction form
    103,293/215,862.75 = 215,862.75/x
  3. Step 3: Cross multiply
    103,293x = 215,862.75 × 215,862.75
  4. Step 4: Simplify right side
    103,293x = 46,596,726,837.56
  5. Step 5: Solve for x
    x = 46,596,726,837.56/103,293
  6. Step 6: Final answer
    x = 451,112.15

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.