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Finding the Third Proportional to 45,078.50 and 96,411

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Solution

The third proportional to 45,078.50 and 96,411 is: 206,197.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,078.50 : 96,411 = 96,411 : x
  2. Step 2: Convert to fraction form
    45,078.50/96,411 = 96,411/x
  3. Step 3: Cross multiply
    45,078.50x = 96,411 × 96,411
  4. Step 4: Simplify right side
    45,078.50x = 9,295,080,921
  5. Step 5: Solve for x
    x = 9,295,080,921/45,078.50
  6. Step 6: Final answer
    x = 206,197.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.