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Finding the Third Proportional to 202,465,439.25 and 302,373,792.75

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Solution

The third proportional to 202,465,439.25 and 302,373,792.75 is: 451,582,802.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,465,439.25 : 302,373,792.75 = 302,373,792.75 : x
  2. Step 2: Convert to fraction form
    202,465,439.25/302,373,792.75 = 302,373,792.75/x
  3. Step 3: Cross multiply
    202,465,439.25x = 302,373,792.75 × 302,373,792.75
  4. Step 4: Simplify right side
    202,465,439.25x = 91,429,910,542,019,952
  5. Step 5: Solve for x
    x = 91,429,910,542,019,952/202,465,439.25
  6. Step 6: Final answer
    x = 451,582,802.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.