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Finding the Third Proportional to 44,738 and 97,892

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Solution

The third proportional to 44,738 and 97,892 is: 214,199.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,738 : 97,892 = 97,892 : x
  2. Step 2: Convert to fraction form
    44,738/97,892 = 97,892/x
  3. Step 3: Cross multiply
    44,738x = 97,892 × 97,892
  4. Step 4: Simplify right side
    44,738x = 9,582,843,664
  5. Step 5: Solve for x
    x = 9,582,843,664/44,738
  6. Step 6: Final answer
    x = 214,199.20

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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.