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Finding the Third Proportional to 41,988,164 and 90,416,008

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Solution

The third proportional to 41,988,164 and 90,416,008 is: 194,699,022.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,988,164 : 90,416,008 = 90,416,008 : x
  2. Step 2: Convert to fraction form
    41,988,164/90,416,008 = 90,416,008/x
  3. Step 3: Cross multiply
    41,988,164x = 90,416,008 × 90,416,008
  4. Step 4: Simplify right side
    41,988,164x = 8,175,054,502,656,064
  5. Step 5: Solve for x
    x = 8,175,054,502,656,064/41,988,164
  6. Step 6: Final answer
    x = 194,699,022.86

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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.