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Finding the Third Proportional to 77,882,543 and 166,189,259

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Solution

The third proportional to 77,882,543 and 166,189,259 is: 354,622,085.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,882,543 : 166,189,259 = 166,189,259 : x
  2. Step 2: Convert to fraction form
    77,882,543/166,189,259 = 166,189,259/x
  3. Step 3: Cross multiply
    77,882,543x = 166,189,259 × 166,189,259
  4. Step 4: Simplify right side
    77,882,543x = 27,618,869,806,969,080
  5. Step 5: Solve for x
    x = 27,618,869,806,969,080/77,882,543
  6. Step 6: Final answer
    x = 354,622,085.30

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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.