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Finding the Third Proportional to 96,821.58 and 160,005.38

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Solution

The third proportional to 96,821.58 and 160,005.38 is: 264,421.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,821.58 : 160,005.38 = 160,005.38 : x
  2. Step 2: Convert to fraction form
    96,821.58/160,005.38 = 160,005.38/x
  3. Step 3: Cross multiply
    96,821.58x = 160,005.38 × 160,005.38
  4. Step 4: Simplify right side
    96,821.58x = 25,601,720,028.89
  5. Step 5: Solve for x
    x = 25,601,720,028.89/96,821.58
  6. Step 6: Final answer
    x = 264,421.64

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.