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Finding the Third Proportional to 199,532,184,704 and 413,207,908,764

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Solution

The third proportional to 199,532,184,704 and 413,207,908,764 is: 855,705,439,793.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,532,184,704 : 413,207,908,764 = 413,207,908,764 : x
  2. Step 2: Convert to fraction form
    199,532,184,704/413,207,908,764 = 413,207,908,764/x
  3. Step 3: Cross multiply
    199,532,184,704x = 413,207,908,764 × 413,207,908,764
  4. Step 4: Simplify right side
    199,532,184,704x = 170,740,775,865,118,145,642,496
  5. Step 5: Solve for x
    x = 170,740,775,865,118,145,642,496/199,532,184,704
  6. Step 6: Final answer
    x = 855,705,439,793.62

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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.