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Finding the Third Proportional to 132,203.88 and 201,404.07

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Solution

The third proportional to 132,203.88 and 201,404.07 is: 306,826.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,203.88 : 201,404.07 = 201,404.07 : x
  2. Step 2: Convert to fraction form
    132,203.88/201,404.07 = 201,404.07/x
  3. Step 3: Cross multiply
    132,203.88x = 201,404.07 × 201,404.07
  4. Step 4: Simplify right side
    132,203.88x = 40,563,601,111.91
  5. Step 5: Solve for x
    x = 40,563,601,111.91/132,203.88
  6. Step 6: Final answer
    x = 306,826.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.