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Finding the Third Proportional to 160,088,104 and 349,082,188

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Solution

The third proportional to 160,088,104 and 349,082,188 is: 761,195,684.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,088,104 : 349,082,188 = 349,082,188 : x
  2. Step 2: Convert to fraction form
    160,088,104/349,082,188 = 349,082,188/x
  3. Step 3: Cross multiply
    160,088,104x = 349,082,188 × 349,082,188
  4. Step 4: Simplify right side
    160,088,104x = 121,858,373,978,867,344
  5. Step 5: Solve for x
    x = 121,858,373,978,867,344/160,088,104
  6. Step 6: Final answer
    x = 761,195,684.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.