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Finding the Third Proportional to 79,133.25 and 186,803.25

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Solution

The third proportional to 79,133.25 and 186,803.25 is: 440,970.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,133.25 : 186,803.25 = 186,803.25 : x
  2. Step 2: Convert to fraction form
    79,133.25/186,803.25 = 186,803.25/x
  3. Step 3: Cross multiply
    79,133.25x = 186,803.25 × 186,803.25
  4. Step 4: Simplify right side
    79,133.25x = 34,895,454,210.56
  5. Step 5: Solve for x
    x = 34,895,454,210.56/79,133.25
  6. Step 6: Final answer
    x = 440,970.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.