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Finding the Third Proportional to 69,994.13 and 150,913.13

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Solution

The third proportional to 69,994.13 and 150,913.13 is: 325,381.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,994.13 : 150,913.13 = 150,913.13 : x
  2. Step 2: Convert to fraction form
    69,994.13/150,913.13 = 150,913.13/x
  3. Step 3: Cross multiply
    69,994.13x = 150,913.13 × 150,913.13
  4. Step 4: Simplify right side
    69,994.13x = 22,774,771,297.27
  5. Step 5: Solve for x
    x = 22,774,771,297.27/69,994.13
  6. Step 6: Final answer
    x = 325,381.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.