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Finding the Third Proportional to 46,963 and 97,805

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Solution

The third proportional to 46,963 and 97,805 is: 203,688.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,963 : 97,805 = 97,805 : x
  2. Step 2: Convert to fraction form
    46,963/97,805 = 97,805/x
  3. Step 3: Cross multiply
    46,963x = 97,805 × 97,805
  4. Step 4: Simplify right side
    46,963x = 9,565,818,025
  5. Step 5: Solve for x
    x = 9,565,818,025/46,963
  6. Step 6: Final answer
    x = 203,688.39

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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.