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Finding the Third Proportional to 108,886.78 and 164,970.42

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Solution

The third proportional to 108,886.78 and 164,970.42 is: 249,940.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,886.78 : 164,970.42 = 164,970.42 : x
  2. Step 2: Convert to fraction form
    108,886.78/164,970.42 = 164,970.42/x
  3. Step 3: Cross multiply
    108,886.78x = 164,970.42 × 164,970.42
  4. Step 4: Simplify right side
    108,886.78x = 27,215,240,093.62
  5. Step 5: Solve for x
    x = 27,215,240,093.62/108,886.78
  6. Step 6: Final answer
    x = 249,940.72

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.