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Finding the Third Proportional to 43,893 and 97,276.50

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Solution

The third proportional to 43,893 and 97,276.50 is: 215,586.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,893 : 97,276.50 = 97,276.50 : x
  2. Step 2: Convert to fraction form
    43,893/97,276.50 = 97,276.50/x
  3. Step 3: Cross multiply
    43,893x = 97,276.50 × 97,276.50
  4. Step 4: Simplify right side
    43,893x = 9,462,717,452.25
  5. Step 5: Solve for x
    x = 9,462,717,452.25/43,893
  6. Step 6: Final answer
    x = 215,586.03

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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.