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Finding the Third Proportional to 99,194.63 and 148,184.44

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Solution

The third proportional to 99,194.63 and 148,184.44 is: 221,369.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,194.63 : 148,184.44 = 148,184.44 : x
  2. Step 2: Convert to fraction form
    99,194.63/148,184.44 = 148,184.44/x
  3. Step 3: Cross multiply
    99,194.63x = 148,184.44 × 148,184.44
  4. Step 4: Simplify right side
    99,194.63x = 21,958,627,517.19
  5. Step 5: Solve for x
    x = 21,958,627,517.19/99,194.63
  6. Step 6: Final answer
    x = 221,369.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.