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Finding the Third Proportional to 143,365,436.16 and 312,764,920.31

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Solution

The third proportional to 143,365,436.16 and 312,764,920.31 is: 682,325,517.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,365,436.16 : 312,764,920.31 = 312,764,920.31 : x
  2. Step 2: Convert to fraction form
    143,365,436.16/312,764,920.31 = 312,764,920.31/x
  3. Step 3: Cross multiply
    143,365,436.16x = 312,764,920.31 × 312,764,920.31
  4. Step 4: Simplify right side
    143,365,436.16x = 97,821,895,378,084,480
  5. Step 5: Solve for x
    x = 97,821,895,378,084,480/143,365,436.16
  6. Step 6: Final answer
    x = 682,325,517.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.