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Finding the Third Proportional to 147,827.53 and 209,200.22

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Solution

The third proportional to 147,827.53 and 209,200.22 is: 296,052.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,827.53 : 209,200.22 = 209,200.22 : x
  2. Step 2: Convert to fraction form
    147,827.53/209,200.22 = 209,200.22/x
  3. Step 3: Cross multiply
    147,827.53x = 209,200.22 × 209,200.22
  4. Step 4: Simplify right side
    147,827.53x = 43,764,731,525.05
  5. Step 5: Solve for x
    x = 43,764,731,525.05/147,827.53
  6. Step 6: Final answer
    x = 296,052.64

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.