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Finding the Third Proportional to 98,286,462 and 213,280,093.13

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Solution

The third proportional to 98,286,462 and 213,280,093.13 is: 462,814,483.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,286,462 : 213,280,093.13 = 213,280,093.13 : x
  2. Step 2: Convert to fraction form
    98,286,462/213,280,093.13 = 213,280,093.13/x
  3. Step 3: Cross multiply
    98,286,462x = 213,280,093.13 × 213,280,093.13
  4. Step 4: Simplify right side
    98,286,462x = 45,488,398,123,408,672
  5. Step 5: Solve for x
    x = 45,488,398,123,408,672/98,286,462
  6. Step 6: Final answer
    x = 462,814,483.27

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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.