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Finding the Third Proportional to 44,478 and 97,166.25

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Solution

The third proportional to 44,478 and 97,166.25 is: 212,268.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,478 : 97,166.25 = 97,166.25 : x
  2. Step 2: Convert to fraction form
    44,478/97,166.25 = 97,166.25/x
  3. Step 3: Cross multiply
    44,478x = 97,166.25 × 97,166.25
  4. Step 4: Simplify right side
    44,478x = 9,441,280,139.06
  5. Step 5: Solve for x
    x = 9,441,280,139.06/44,478
  6. Step 6: Final answer
    x = 212,268.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.