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Finding the Third Proportional to 44,883 and 97,195

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Solution

The third proportional to 44,883 and 97,195 is: 210,477.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,883 : 97,195 = 97,195 : x
  2. Step 2: Convert to fraction form
    44,883/97,195 = 97,195/x
  3. Step 3: Cross multiply
    44,883x = 97,195 × 97,195
  4. Step 4: Simplify right side
    44,883x = 9,446,868,025
  5. Step 5: Solve for x
    x = 9,446,868,025/44,883
  6. Step 6: Final answer
    x = 210,477.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.