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Finding the Third Proportional to 124,287,166.50 and 186,949,651.50

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Solution

The third proportional to 124,287,166.50 and 186,949,651.50 is: 281,204,996.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,287,166.50 : 186,949,651.50 = 186,949,651.50 : x
  2. Step 2: Convert to fraction form
    124,287,166.50/186,949,651.50 = 186,949,651.50/x
  3. Step 3: Cross multiply
    124,287,166.50x = 186,949,651.50 × 186,949,651.50
  4. Step 4: Simplify right side
    124,287,166.50x = 34,950,172,195,971,452
  5. Step 5: Solve for x
    x = 34,950,172,195,971,452/124,287,166.50
  6. Step 6: Final answer
    x = 281,204,996.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.