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Finding the Third Proportional to 77,755,176 and 167,049,406

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Solution

The third proportional to 77,755,176 and 167,049,406 is: 358,889,343.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,755,176 : 167,049,406 = 167,049,406 : x
  2. Step 2: Convert to fraction form
    77,755,176/167,049,406 = 167,049,406/x
  3. Step 3: Cross multiply
    77,755,176x = 167,049,406 × 167,049,406
  4. Step 4: Simplify right side
    77,755,176x = 27,905,504,044,952,836
  5. Step 5: Solve for x
    x = 27,905,504,044,952,836/77,755,176
  6. Step 6: Final answer
    x = 358,889,343.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.