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Finding the Third Proportional to 44,352 and 96,986

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Solution

The third proportional to 44,352 and 96,986 is: 212,082.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,352 : 96,986 = 96,986 : x
  2. Step 2: Convert to fraction form
    44,352/96,986 = 96,986/x
  3. Step 3: Cross multiply
    44,352x = 96,986 × 96,986
  4. Step 4: Simplify right side
    44,352x = 9,406,284,196
  5. Step 5: Solve for x
    x = 9,406,284,196/44,352
  6. Step 6: Final answer
    x = 212,082.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.