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Finding the Third Proportional to 181,115,726 and 282,435,263

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Solution

The third proportional to 181,115,726 and 282,435,263 is: 440,434,850.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,115,726 : 282,435,263 = 282,435,263 : x
  2. Step 2: Convert to fraction form
    181,115,726/282,435,263 = 282,435,263/x
  3. Step 3: Cross multiply
    181,115,726x = 282,435,263 × 282,435,263
  4. Step 4: Simplify right side
    181,115,726x = 79,769,677,785,879,168
  5. Step 5: Solve for x
    x = 79,769,677,785,879,168/181,115,726
  6. Step 6: Final answer
    x = 440,434,850.95

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