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Finding the Third Proportional to 96,438.56 and 211,565.63

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Solution

The third proportional to 96,438.56 and 211,565.63 is: 464,129.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,438.56 : 211,565.63 = 211,565.63 : x
  2. Step 2: Convert to fraction form
    96,438.56/211,565.63 = 211,565.63/x
  3. Step 3: Cross multiply
    96,438.56x = 211,565.63 × 211,565.63
  4. Step 4: Simplify right side
    96,438.56x = 44,760,013,681.64
  5. Step 5: Solve for x
    x = 44,760,013,681.64/96,438.56
  6. Step 6: Final answer
    x = 464,129.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.