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Finding the Third Proportional to 198,067,381,002 and 429,024,083,235.75

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Solution

The third proportional to 198,067,381,002 and 429,024,083,235.75 is: 929,288,119,351.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,067,381,002 : 429,024,083,235.75 = 429,024,083,235.75 : x
  2. Step 2: Convert to fraction form
    198,067,381,002/429,024,083,235.75 = 429,024,083,235.75/x
  3. Step 3: Cross multiply
    198,067,381,002x = 429,024,083,235.75 × 429,024,083,235.75
  4. Step 4: Simplify right side
    198,067,381,002x = 184,061,663,996,275,748,503,552
  5. Step 5: Solve for x
    x = 184,061,663,996,275,748,503,552/198,067,381,002
  6. Step 6: Final answer
    x = 929,288,119,351.75

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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.