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Finding the Third Proportional to 94,331,451 and 200,000,166

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Solution

The third proportional to 94,331,451 and 200,000,166 is: 424,037,433.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,331,451 : 200,000,166 = 200,000,166 : x
  2. Step 2: Convert to fraction form
    94,331,451/200,000,166 = 200,000,166/x
  3. Step 3: Cross multiply
    94,331,451x = 200,000,166 × 200,000,166
  4. Step 4: Simplify right side
    94,331,451x = 40,000,066,400,027,552
  5. Step 5: Solve for x
    x = 40,000,066,400,027,552/94,331,451
  6. Step 6: Final answer
    x = 424,037,433.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.