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Finding the Third Proportional to 49,703,766.75 and 106,315,719.75

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Solution

The third proportional to 49,703,766.75 and 106,315,719.75 is: 227,407,961.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,703,766.75 : 106,315,719.75 = 106,315,719.75 : x
  2. Step 2: Convert to fraction form
    49,703,766.75/106,315,719.75 = 106,315,719.75/x
  3. Step 3: Cross multiply
    49,703,766.75x = 106,315,719.75 × 106,315,719.75
  4. Step 4: Simplify right side
    49,703,766.75x = 11,303,032,265,960,540
  5. Step 5: Solve for x
    x = 11,303,032,265,960,540/49,703,766.75
  6. Step 6: Final answer
    x = 227,407,961.31

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.