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Finding the Third Proportional to 103,284.56 and 218,973.94

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Solution

The third proportional to 103,284.56 and 218,973.94 is: 464,247.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,284.56 : 218,973.94 = 218,973.94 : x
  2. Step 2: Convert to fraction form
    103,284.56/218,973.94 = 218,973.94/x
  3. Step 3: Cross multiply
    103,284.56x = 218,973.94 × 218,973.94
  4. Step 4: Simplify right side
    103,284.56x = 47,949,585,304.25
  5. Step 5: Solve for x
    x = 47,949,585,304.25/103,284.56
  6. Step 6: Final answer
    x = 464,247.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.