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Finding the Third Proportional to 190,149,007.50 and 400,722,862.50

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Solution

The third proportional to 190,149,007.50 and 400,722,862.50 is: 844,489,354.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,149,007.50 : 400,722,862.50 = 400,722,862.50 : x
  2. Step 2: Convert to fraction form
    190,149,007.50/400,722,862.50 = 400,722,862.50/x
  3. Step 3: Cross multiply
    190,149,007.50x = 400,722,862.50 × 400,722,862.50
  4. Step 4: Simplify right side
    190,149,007.50x = 160,578,812,530,193,920
  5. Step 5: Solve for x
    x = 160,578,812,530,193,920/190,149,007.50
  6. Step 6: Final answer
    x = 844,489,354.12

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.