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Finding the Third Proportional to 199,532,184,702 and 413,207,908,762

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Solution

The third proportional to 199,532,184,702 and 413,207,908,762 is: 855,705,439,793.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,532,184,702 : 413,207,908,762 = 413,207,908,762 : x
  2. Step 2: Convert to fraction form
    199,532,184,702/413,207,908,762 = 413,207,908,762/x
  3. Step 3: Cross multiply
    199,532,184,702x = 413,207,908,762 × 413,207,908,762
  4. Step 4: Simplify right side
    199,532,184,702x = 170,740,775,863,465,321,431,040
  5. Step 5: Solve for x
    x = 170,740,775,863,465,321,431,040/199,532,184,702
  6. Step 6: Final answer
    x = 855,705,439,793.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.