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Finding the Third Proportional to 141,150,578.25 and 305,750,990.25

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Solution

The third proportional to 141,150,578.25 and 305,750,990.25 is: 662,297,449.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,150,578.25 : 305,750,990.25 = 305,750,990.25 : x
  2. Step 2: Convert to fraction form
    141,150,578.25/305,750,990.25 = 305,750,990.25/x
  3. Step 3: Cross multiply
    141,150,578.25x = 305,750,990.25 × 305,750,990.25
  4. Step 4: Simplify right side
    141,150,578.25x = 93,483,668,038,855,600
  5. Step 5: Solve for x
    x = 93,483,668,038,855,600/141,150,578.25
  6. Step 6: Final answer
    x = 662,297,449.98

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.