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Finding the Third Proportional to 41,526,027 and 90,872,354

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Solution

The third proportional to 41,526,027 and 90,872,354 is: 198,858,049.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,526,027 : 90,872,354 = 90,872,354 : x
  2. Step 2: Convert to fraction form
    41,526,027/90,872,354 = 90,872,354/x
  3. Step 3: Cross multiply
    41,526,027x = 90,872,354 × 90,872,354
  4. Step 4: Simplify right side
    41,526,027x = 8,257,784,721,501,316
  5. Step 5: Solve for x
    x = 8,257,784,721,501,316/41,526,027
  6. Step 6: Final answer
    x = 198,858,049.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.