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Finding the Third Proportional to 181,115,710 and 282,435,238

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Solution

The third proportional to 181,115,710 and 282,435,238 is: 440,434,811.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,115,710 : 282,435,238 = 282,435,238 : x
  2. Step 2: Convert to fraction form
    181,115,710/282,435,238 = 282,435,238/x
  3. Step 3: Cross multiply
    181,115,710x = 282,435,238 × 282,435,238
  4. Step 4: Simplify right side
    181,115,710x = 79,769,663,664,116,640
  5. Step 5: Solve for x
    x = 79,769,663,664,116,640/181,115,710
  6. Step 6: Final answer
    x = 440,434,811.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.