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Finding the Third Proportional to 76,508,629.13 and 166,006,941.75

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Solution

The third proportional to 76,508,629.13 and 166,006,941.75 is: 360,198,647.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,508,629.13 : 166,006,941.75 = 166,006,941.75 : x
  2. Step 2: Convert to fraction form
    76,508,629.13/166,006,941.75 = 166,006,941.75/x
  3. Step 3: Cross multiply
    76,508,629.13x = 166,006,941.75 × 166,006,941.75
  4. Step 4: Simplify right side
    76,508,629.13x = 27,558,304,709,187,892
  5. Step 5: Solve for x
    x = 27,558,304,709,187,892/76,508,629.13
  6. Step 6: Final answer
    x = 360,198,647.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.