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Finding the Third Proportional to 431,196,138.81 and 938,060,350.42

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Solution

The third proportional to 431,196,138.81 and 938,060,350.42 is: 2,040,735,391.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,196,138.81 : 938,060,350.42 = 938,060,350.42 : x
  2. Step 2: Convert to fraction form
    431,196,138.81/938,060,350.42 = 938,060,350.42/x
  3. Step 3: Cross multiply
    431,196,138.81x = 938,060,350.42 × 938,060,350.42
  4. Step 4: Simplify right side
    431,196,138.81x = 879,957,221,026,303,360
  5. Step 5: Solve for x
    x = 879,957,221,026,303,360/431,196,138.81
  6. Step 6: Final answer
    x = 2,040,735,391.23

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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.