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Finding the Third Proportional to 97,217,093 and 211,124,965

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Solution

The third proportional to 97,217,093 and 211,124,965 is: 458,497,055.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,217,093 : 211,124,965 = 211,124,965 : x
  2. Step 2: Convert to fraction form
    97,217,093/211,124,965 = 211,124,965/x
  3. Step 3: Cross multiply
    97,217,093x = 211,124,965 × 211,124,965
  4. Step 4: Simplify right side
    97,217,093x = 44,573,750,846,251,224
  5. Step 5: Solve for x
    x = 44,573,750,846,251,224/97,217,093
  6. Step 6: Final answer
    x = 458,497,055.10

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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.