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Finding the Third Proportional to 41,988,168 and 90,416,016

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Solution

The third proportional to 41,988,168 and 90,416,016 is: 194,699,038.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,988,168 : 90,416,016 = 90,416,016 : x
  2. Step 2: Convert to fraction form
    41,988,168/90,416,016 = 90,416,016/x
  3. Step 3: Cross multiply
    41,988,168x = 90,416,016 × 90,416,016
  4. Step 4: Simplify right side
    41,988,168x = 8,175,055,949,312,256
  5. Step 5: Solve for x
    x = 8,175,055,949,312,256/41,988,168
  6. Step 6: Final answer
    x = 194,699,038.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.