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Finding the Third Proportional to 97,202.53 and 202,160.81

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Solution

The third proportional to 97,202.53 and 202,160.81 is: 420,451.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,202.53 : 202,160.81 = 202,160.81 : x
  2. Step 2: Convert to fraction form
    97,202.53/202,160.81 = 202,160.81/x
  3. Step 3: Cross multiply
    97,202.53x = 202,160.81 × 202,160.81
  4. Step 4: Simplify right side
    97,202.53x = 40,868,994,110.66
  5. Step 5: Solve for x
    x = 40,868,994,110.66/97,202.53
  6. Step 6: Final answer
    x = 420,451.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.