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Finding the Third Proportional to 45,957,223 and 99,177,086

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Solution

The third proportional to 45,957,223 and 99,177,086 is: 214,027,170.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,957,223 : 99,177,086 = 99,177,086 : x
  2. Step 2: Convert to fraction form
    45,957,223/99,177,086 = 99,177,086/x
  3. Step 3: Cross multiply
    45,957,223x = 99,177,086 × 99,177,086
  4. Step 4: Simplify right side
    45,957,223x = 9,836,094,387,451,396
  5. Step 5: Solve for x
    x = 9,836,094,387,451,396/45,957,223
  6. Step 6: Final answer
    x = 214,027,170.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.