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Finding the Third Proportional to 160,088,106 and 349,082,192

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Solution

The third proportional to 160,088,106 and 349,082,192 is: 761,195,692.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,088,106 : 349,082,192 = 349,082,192 : x
  2. Step 2: Convert to fraction form
    160,088,106/349,082,192 = 349,082,192/x
  3. Step 3: Cross multiply
    160,088,106x = 349,082,192 × 349,082,192
  4. Step 4: Simplify right side
    160,088,106x = 121,858,376,771,524,864
  5. Step 5: Solve for x
    x = 121,858,376,771,524,864/160,088,106
  6. Step 6: Final answer
    x = 761,195,692.90

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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.