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Finding the Third Proportional to 199,532,184,720 and 413,207,908,794

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Solution

The third proportional to 199,532,184,720 and 413,207,908,794 is: 855,705,439,849.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,532,184,720 : 413,207,908,794 = 413,207,908,794 : x
  2. Step 2: Convert to fraction form
    199,532,184,720/413,207,908,794 = 413,207,908,794/x
  3. Step 3: Cross multiply
    199,532,184,720x = 413,207,908,794 × 413,207,908,794
  4. Step 4: Simplify right side
    199,532,184,720x = 170,740,775,889,910,609,477,632
  5. Step 5: Solve for x
    x = 170,740,775,889,910,609,477,632/199,532,184,720
  6. Step 6: Final answer
    x = 855,705,439,849.26

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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.