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Finding the Third Proportional to 181,115,868 and 282,435,487.50

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Solution

The third proportional to 181,115,868 and 282,435,487.50 is: 440,435,205.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,115,868 : 282,435,487.50 = 282,435,487.50 : x
  2. Step 2: Convert to fraction form
    181,115,868/282,435,487.50 = 282,435,487.50/x
  3. Step 3: Cross multiply
    181,115,868x = 282,435,487.50 × 282,435,487.50
  4. Step 4: Simplify right side
    181,115,868x = 79,769,804,599,362,656
  5. Step 5: Solve for x
    x = 79,769,804,599,362,656/181,115,868
  6. Step 6: Final answer
    x = 440,435,205.82

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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.