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Finding the Third Proportional to 81,763,188.75 and 125,675,661.38

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Solution

The third proportional to 81,763,188.75 and 125,675,661.38 is: 193,172,161.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,763,188.75 : 125,675,661.38 = 125,675,661.38 : x
  2. Step 2: Convert to fraction form
    81,763,188.75/125,675,661.38 = 125,675,661.38/x
  3. Step 3: Cross multiply
    81,763,188.75x = 125,675,661.38 × 125,675,661.38
  4. Step 4: Simplify right side
    81,763,188.75x = 15,794,371,862,043,666
  5. Step 5: Solve for x
    x = 15,794,371,862,043,666/81,763,188.75
  6. Step 6: Final answer
    x = 193,172,161.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.