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Finding the Third Proportional to 100,563.19 and 149,104.69

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Solution

The third proportional to 100,563.19 and 149,104.69 is: 221,077.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,563.19 : 149,104.69 = 149,104.69 : x
  2. Step 2: Convert to fraction form
    100,563.19/149,104.69 = 149,104.69/x
  3. Step 3: Cross multiply
    100,563.19x = 149,104.69 × 149,104.69
  4. Step 4: Simplify right side
    100,563.19x = 22,232,207,834.47
  5. Step 5: Solve for x
    x = 22,232,207,834.47/100,563.19
  6. Step 6: Final answer
    x = 221,077.00

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.