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Finding the Third Proportional to 99,685,585,019 and 214,490,329,761

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Solution

The third proportional to 99,685,585,019 and 214,490,329,761 is: 461,512,078,724.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,685,585,019 : 214,490,329,761 = 214,490,329,761 : x
  2. Step 2: Convert to fraction form
    99,685,585,019/214,490,329,761 = 214,490,329,761/x
  3. Step 3: Cross multiply
    99,685,585,019x = 214,490,329,761 × 214,490,329,761
  4. Step 4: Simplify right side
    99,685,585,019x = 46,006,101,560,982,524,395,520
  5. Step 5: Solve for x
    x = 46,006,101,560,982,524,395,520/99,685,585,019
  6. Step 6: Final answer
    x = 461,512,078,724.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.