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Finding the Third Proportional to 110,101.78 and 165,870.28

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Solution

The third proportional to 110,101.78 and 165,870.28 is: 249,886.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,101.78 : 165,870.28 = 165,870.28 : x
  2. Step 2: Convert to fraction form
    110,101.78/165,870.28 = 165,870.28/x
  3. Step 3: Cross multiply
    110,101.78x = 165,870.28 × 165,870.28
  4. Step 4: Simplify right side
    110,101.78x = 27,512,950,201.95
  5. Step 5: Solve for x
    x = 27,512,950,201.95/110,101.78
  6. Step 6: Final answer
    x = 249,886.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.