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Finding the Third Proportional to 43,946 and 97,384

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Solution

The third proportional to 43,946 and 97,384 is: 215,802.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,946 : 97,384 = 97,384 : x
  2. Step 2: Convert to fraction form
    43,946/97,384 = 97,384/x
  3. Step 3: Cross multiply
    43,946x = 97,384 × 97,384
  4. Step 4: Simplify right side
    43,946x = 9,483,643,456
  5. Step 5: Solve for x
    x = 9,483,643,456/43,946
  6. Step 6: Final answer
    x = 215,802.20

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.