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Finding the Third Proportional to 147,214,847.25 and 299,256,585.75

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Solution

The third proportional to 147,214,847.25 and 299,256,585.75 is: 608,325,218.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,214,847.25 : 299,256,585.75 = 299,256,585.75 : x
  2. Step 2: Convert to fraction form
    147,214,847.25/299,256,585.75 = 299,256,585.75/x
  3. Step 3: Cross multiply
    147,214,847.25x = 299,256,585.75 × 299,256,585.75
  4. Step 4: Simplify right side
    147,214,847.25x = 89,554,504,114,747,104
  5. Step 5: Solve for x
    x = 89,554,504,114,747,104/147,214,847.25
  6. Step 6: Final answer
    x = 608,325,218.47

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.