Home / 103,284,013.78-218,225,772.84

Finding the Third Proportional to 103,284,013.78 and 218,225,772.84

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Solution

The third proportional to 103,284,013.78 and 218,225,772.84 is: 461,082,854.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,284,013.78 : 218,225,772.84 = 218,225,772.84 : x
  2. Step 2: Convert to fraction form
    103,284,013.78/218,225,772.84 = 218,225,772.84/x
  3. Step 3: Cross multiply
    103,284,013.78x = 218,225,772.84 × 218,225,772.84
  4. Step 4: Simplify right side
    103,284,013.78x = 47,622,487,933,251,976
  5. Step 5: Solve for x
    x = 47,622,487,933,251,976/103,284,013.78
  6. Step 6: Final answer
    x = 461,082,854.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.