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Finding the Third Proportional to 149,827,707,702 and 216,475,164,048

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Solution

The third proportional to 149,827,707,702 and 216,475,164,048 is: 312,769,229,192.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,827,707,702 : 216,475,164,048 = 216,475,164,048 : x
  2. Step 2: Convert to fraction form
    149,827,707,702/216,475,164,048 = 216,475,164,048/x
  3. Step 3: Cross multiply
    149,827,707,702x = 216,475,164,048 × 216,475,164,048
  4. Step 4: Simplify right side
    149,827,707,702x = 46,861,496,649,608,515,813,376
  5. Step 5: Solve for x
    x = 46,861,496,649,608,515,813,376/149,827,707,702
  6. Step 6: Final answer
    x = 312,769,229,192.33

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.