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Finding the Third Proportional to 151,107 and 204,471.50

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Solution

The third proportional to 151,107 and 204,471.50 is: 276,682.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,107 : 204,471.50 = 204,471.50 : x
  2. Step 2: Convert to fraction form
    151,107/204,471.50 = 204,471.50/x
  3. Step 3: Cross multiply
    151,107x = 204,471.50 × 204,471.50
  4. Step 4: Simplify right side
    151,107x = 41,808,594,312.25
  5. Step 5: Solve for x
    x = 41,808,594,312.25/151,107
  6. Step 6: Final answer
    x = 276,682.05

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.