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Finding the Third Proportional to 44,316 and 96,976

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Solution

The third proportional to 44,316 and 96,976 is: 212,211.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,316 : 96,976 = 96,976 : x
  2. Step 2: Convert to fraction form
    44,316/96,976 = 96,976/x
  3. Step 3: Cross multiply
    44,316x = 96,976 × 96,976
  4. Step 4: Simplify right side
    44,316x = 9,404,344,576
  5. Step 5: Solve for x
    x = 9,404,344,576/44,316
  6. Step 6: Final answer
    x = 212,211.04

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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.