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Finding the Third Proportional to 169,148,189.25 and 269,150,817.94

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Solution

The third proportional to 169,148,189.25 and 269,150,817.94 is: 428,276,312.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,148,189.25 : 269,150,817.94 = 269,150,817.94 : x
  2. Step 2: Convert to fraction form
    169,148,189.25/269,150,817.94 = 269,150,817.94/x
  3. Step 3: Cross multiply
    169,148,189.25x = 269,150,817.94 × 269,150,817.94
  4. Step 4: Simplify right side
    169,148,189.25x = 72,442,162,796,425,264
  5. Step 5: Solve for x
    x = 72,442,162,796,425,264/169,148,189.25
  6. Step 6: Final answer
    x = 428,276,312.73

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.