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Finding the Third Proportional to 77,882,527 and 166,189,227

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Solution

The third proportional to 77,882,527 and 166,189,227 is: 354,622,021.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,882,527 : 166,189,227 = 166,189,227 : x
  2. Step 2: Convert to fraction form
    77,882,527/166,189,227 = 166,189,227/x
  3. Step 3: Cross multiply
    77,882,527x = 166,189,227 × 166,189,227
  4. Step 4: Simplify right side
    77,882,527x = 27,618,859,170,857,528
  5. Step 5: Solve for x
    x = 27,618,859,170,857,528/77,882,527
  6. Step 6: Final answer
    x = 354,622,021.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.