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Finding the Third Proportional to 181,900,624 and 279,597,266

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Solution

The third proportional to 181,900,624 and 279,597,266 is: 429,765,601.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,900,624 : 279,597,266 = 279,597,266 : x
  2. Step 2: Convert to fraction form
    181,900,624/279,597,266 = 279,597,266/x
  3. Step 3: Cross multiply
    181,900,624x = 279,597,266 × 279,597,266
  4. Step 4: Simplify right side
    181,900,624x = 78,174,631,154,674,752
  5. Step 5: Solve for x
    x = 78,174,631,154,674,752/181,900,624
  6. Step 6: Final answer
    x = 429,765,601.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.