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Finding the Third Proportional to 147,613,361.50 and 317,132,943.25

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Solution

The third proportional to 147,613,361.50 and 317,132,943.25 is: 681,329,269.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,613,361.50 : 317,132,943.25 = 317,132,943.25 : x
  2. Step 2: Convert to fraction form
    147,613,361.50/317,132,943.25 = 317,132,943.25/x
  3. Step 3: Cross multiply
    147,613,361.50x = 317,132,943.25 × 317,132,943.25
  4. Step 4: Simplify right side
    147,613,361.50x = 100,573,303,694,407,728
  5. Step 5: Solve for x
    x = 100,573,303,694,407,728/147,613,361.50
  6. Step 6: Final answer
    x = 681,329,269.06

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.