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Finding the Third Proportional to 181,116,826.50 and 282,436,959.75

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Solution

The third proportional to 181,116,826.50 and 282,436,959.75 is: 440,437,466.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,116,826.50 : 282,436,959.75 = 282,436,959.75 : x
  2. Step 2: Convert to fraction form
    181,116,826.50/282,436,959.75 = 282,436,959.75/x
  3. Step 3: Cross multiply
    181,116,826.50x = 282,436,959.75 × 282,436,959.75
  4. Step 4: Simplify right side
    181,116,826.50x = 79,770,636,232,823,120
  5. Step 5: Solve for x
    x = 79,770,636,232,823,120/181,116,826.50
  6. Step 6: Final answer
    x = 440,437,466.66

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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.