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Finding the Third Proportional to 141,416,523 and 218,177,924.06

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Solution

The third proportional to 141,416,523 and 218,177,924.06 is: 336,605,691.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,416,523 : 218,177,924.06 = 218,177,924.06 : x
  2. Step 2: Convert to fraction form
    141,416,523/218,177,924.06 = 218,177,924.06/x
  3. Step 3: Cross multiply
    141,416,523x = 218,177,924.06 × 218,177,924.06
  4. Step 4: Simplify right side
    141,416,523x = 47,601,606,548,222,016
  5. Step 5: Solve for x
    x = 47,601,606,548,222,016/141,416,523
  6. Step 6: Final answer
    x = 336,605,691.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.