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Finding the Third Proportional to 47,830 and 97,604

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Solution

The third proportional to 47,830 and 97,604 is: 199,175.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,830 : 97,604 = 97,604 : x
  2. Step 2: Convert to fraction form
    47,830/97,604 = 97,604/x
  3. Step 3: Cross multiply
    47,830x = 97,604 × 97,604
  4. Step 4: Simplify right side
    47,830x = 9,526,540,816
  5. Step 5: Solve for x
    x = 9,526,540,816/47,830
  6. Step 6: Final answer
    x = 199,175.01

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.