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Finding the Third Proportional to 46,701 and 99,963

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Solution

The third proportional to 46,701 and 99,963 is: 213,969.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,701 : 99,963 = 99,963 : x
  2. Step 2: Convert to fraction form
    46,701/99,963 = 99,963/x
  3. Step 3: Cross multiply
    46,701x = 99,963 × 99,963
  4. Step 4: Simplify right side
    46,701x = 9,992,601,369
  5. Step 5: Solve for x
    x = 9,992,601,369/46,701
  6. Step 6: Final answer
    x = 213,969.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.