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Finding the Third Proportional to 99,135,229 and 214,740,026

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Solution

The third proportional to 99,135,229 and 214,740,026 is: 465,155,315.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,135,229 : 214,740,026 = 214,740,026 : x
  2. Step 2: Convert to fraction form
    99,135,229/214,740,026 = 214,740,026/x
  3. Step 3: Cross multiply
    99,135,229x = 214,740,026 × 214,740,026
  4. Step 4: Simplify right side
    99,135,229x = 46,113,278,766,480,672
  5. Step 5: Solve for x
    x = 46,113,278,766,480,672/99,135,229
  6. Step 6: Final answer
    x = 465,155,315.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.