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Finding the Third Proportional to 181,116,717 and 282,436,702.50

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Solution

The third proportional to 181,116,717 and 282,436,702.50 is: 440,436,930.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,116,717 : 282,436,702.50 = 282,436,702.50 : x
  2. Step 2: Convert to fraction form
    181,116,717/282,436,702.50 = 282,436,702.50/x
  3. Step 3: Cross multiply
    181,116,717x = 282,436,702.50 × 282,436,702.50
  4. Step 4: Simplify right side
    181,116,717x = 79,770,490,919,073,504
  5. Step 5: Solve for x
    x = 79,770,490,919,073,504/181,116,717
  6. Step 6: Final answer
    x = 440,436,930.62

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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.