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Finding the Third Proportional to 132,107.63 and 204,643.13

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Solution

The third proportional to 132,107.63 and 204,643.13 is: 317,005.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,107.63 : 204,643.13 = 204,643.13 : x
  2. Step 2: Convert to fraction form
    132,107.63/204,643.13 = 204,643.13/x
  3. Step 3: Cross multiply
    132,107.63x = 204,643.13 × 204,643.13
  4. Step 4: Simplify right side
    132,107.63x = 41,878,808,609.77
  5. Step 5: Solve for x
    x = 41,878,808,609.77/132,107.63
  6. Step 6: Final answer
    x = 317,005.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.