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Finding the Third Proportional to 46,971 and 97,822

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Solution

The third proportional to 46,971 and 97,822 is: 203,724.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,971 : 97,822 = 97,822 : x
  2. Step 2: Convert to fraction form
    46,971/97,822 = 97,822/x
  3. Step 3: Cross multiply
    46,971x = 97,822 × 97,822
  4. Step 4: Simplify right side
    46,971x = 9,569,143,684
  5. Step 5: Solve for x
    x = 9,569,143,684/46,971
  6. Step 6: Final answer
    x = 203,724.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.