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Finding the Third Proportional to 44,918 and 97,311.50

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Solution

The third proportional to 44,918 and 97,311.50 is: 210,818.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,918 : 97,311.50 = 97,311.50 : x
  2. Step 2: Convert to fraction form
    44,918/97,311.50 = 97,311.50/x
  3. Step 3: Cross multiply
    44,918x = 97,311.50 × 97,311.50
  4. Step 4: Simplify right side
    44,918x = 9,469,528,032.25
  5. Step 5: Solve for x
    x = 9,469,528,032.25/44,918
  6. Step 6: Final answer
    x = 210,818.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.