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Finding the Third Proportional to 201,057.19 and 312,611.91

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Solution

The third proportional to 201,057.19 and 312,611.91 is: 486,061.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,057.19 : 312,611.91 = 312,611.91 : x
  2. Step 2: Convert to fraction form
    201,057.19/312,611.91 = 312,611.91/x
  3. Step 3: Cross multiply
    201,057.19x = 312,611.91 × 312,611.91
  4. Step 4: Simplify right side
    201,057.19x = 97,726,203,929.26
  5. Step 5: Solve for x
    x = 97,726,203,929.26/201,057.19
  6. Step 6: Final answer
    x = 486,061.73

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.