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Finding the Third Proportional to 44,368 and 97,662

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Solution

The third proportional to 44,368 and 97,662 is: 214,971.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,368 : 97,662 = 97,662 : x
  2. Step 2: Convert to fraction form
    44,368/97,662 = 97,662/x
  3. Step 3: Cross multiply
    44,368x = 97,662 × 97,662
  4. Step 4: Simplify right side
    44,368x = 9,537,866,244
  5. Step 5: Solve for x
    x = 9,537,866,244/44,368
  6. Step 6: Final answer
    x = 214,971.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.