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Finding the Third Proportional to 97,734.94 and 214,155.56

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Solution

The third proportional to 97,734.94 and 214,155.56 is: 469,254.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,734.94 : 214,155.56 = 214,155.56 : x
  2. Step 2: Convert to fraction form
    97,734.94/214,155.56 = 214,155.56/x
  3. Step 3: Cross multiply
    97,734.94x = 214,155.56 × 214,155.56
  4. Step 4: Simplify right side
    97,734.94x = 45,862,604,949.69
  5. Step 5: Solve for x
    x = 45,862,604,949.69/97,734.94
  6. Step 6: Final answer
    x = 469,254.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.