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Finding the Third Proportional to 90,464.34 and 132,988.08

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Solution

The third proportional to 90,464.34 and 132,988.08 is: 195,500.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,464.34 : 132,988.08 = 132,988.08 : x
  2. Step 2: Convert to fraction form
    90,464.34/132,988.08 = 132,988.08/x
  3. Step 3: Cross multiply
    90,464.34x = 132,988.08 × 132,988.08
  4. Step 4: Simplify right side
    90,464.34x = 17,685,828,923.38
  5. Step 5: Solve for x
    x = 17,685,828,923.38/90,464.34
  6. Step 6: Final answer
    x = 195,500.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.