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Finding the Third Proportional to 198,252,618 and 429,448,704

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Solution

The third proportional to 198,252,618 and 429,448,704 is: 930,258,531.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,252,618 : 429,448,704 = 429,448,704 : x
  2. Step 2: Convert to fraction form
    198,252,618/429,448,704 = 429,448,704/x
  3. Step 3: Cross multiply
    198,252,618x = 429,448,704 × 429,448,704
  4. Step 4: Simplify right side
    198,252,618x = 184,426,189,367,279,616
  5. Step 5: Solve for x
    x = 184,426,189,367,279,616/198,252,618
  6. Step 6: Final answer
    x = 930,258,531.91

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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.