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Finding the Third Proportional to 44,985 and 96,199

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Solution

The third proportional to 44,985 and 96,199 is: 205,718.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,985 : 96,199 = 96,199 : x
  2. Step 2: Convert to fraction form
    44,985/96,199 = 96,199/x
  3. Step 3: Cross multiply
    44,985x = 96,199 × 96,199
  4. Step 4: Simplify right side
    44,985x = 9,254,247,601
  5. Step 5: Solve for x
    x = 9,254,247,601/44,985
  6. Step 6: Final answer
    x = 205,718.52

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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.