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Finding the Third Proportional to 46,693 and 99,946

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Solution

The third proportional to 46,693 and 99,946 is: 213,933.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,693 : 99,946 = 99,946 : x
  2. Step 2: Convert to fraction form
    46,693/99,946 = 99,946/x
  3. Step 3: Cross multiply
    46,693x = 99,946 × 99,946
  4. Step 4: Simplify right side
    46,693x = 9,989,202,916
  5. Step 5: Solve for x
    x = 9,989,202,916/46,693
  6. Step 6: Final answer
    x = 213,933.63

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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.