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Finding the Third Proportional to 41,522.63 and 97,480.97

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Solution

The third proportional to 41,522.63 and 97,480.97 is: 228,852.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,522.63 : 97,480.97 = 97,480.97 : x
  2. Step 2: Convert to fraction form
    41,522.63/97,480.97 = 97,480.97/x
  3. Step 3: Cross multiply
    41,522.63x = 97,480.97 × 97,480.97
  4. Step 4: Simplify right side
    41,522.63x = 9,502,539,268.44
  5. Step 5: Solve for x
    x = 9,502,539,268.44/41,522.63
  6. Step 6: Final answer
    x = 228,852.08

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.