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Finding the Third Proportional to 94,056.75 and 200,868.75

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Solution

The third proportional to 94,056.75 and 200,868.75 is: 428,977.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,056.75 : 200,868.75 = 200,868.75 : x
  2. Step 2: Convert to fraction form
    94,056.75/200,868.75 = 200,868.75/x
  3. Step 3: Cross multiply
    94,056.75x = 200,868.75 × 200,868.75
  4. Step 4: Simplify right side
    94,056.75x = 40,348,254,726.56
  5. Step 5: Solve for x
    x = 40,348,254,726.56/94,056.75
  6. Step 6: Final answer
    x = 428,977.77

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Why These Related Problems?

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