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Finding the Third Proportional to 148,105.13 and 211,642.88

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Solution

The third proportional to 148,105.13 and 211,642.88 is: 302,438.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,105.13 : 211,642.88 = 211,642.88 : x
  2. Step 2: Convert to fraction form
    148,105.13/211,642.88 = 211,642.88/x
  3. Step 3: Cross multiply
    148,105.13x = 211,642.88 × 211,642.88
  4. Step 4: Simplify right side
    148,105.13x = 44,792,706,538.27
  5. Step 5: Solve for x
    x = 44,792,706,538.27/148,105.13
  6. Step 6: Final answer
    x = 302,438.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.