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Finding the Third Proportional to 98,723.39 and 192,526.03

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Solution

The third proportional to 98,723.39 and 192,526.03 is: 375,455.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,723.39 : 192,526.03 = 192,526.03 : x
  2. Step 2: Convert to fraction form
    98,723.39/192,526.03 = 192,526.03/x
  3. Step 3: Cross multiply
    98,723.39x = 192,526.03 × 192,526.03
  4. Step 4: Simplify right side
    98,723.39x = 37,066,272,708.88
  5. Step 5: Solve for x
    x = 37,066,272,708.88/98,723.39
  6. Step 6: Final answer
    x = 375,455.83

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.