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Finding the Third Proportional to 97,248 and 211,111

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Solution

The third proportional to 97,248 and 211,111 is: 458,290.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,248 : 211,111 = 211,111 : x
  2. Step 2: Convert to fraction form
    97,248/211,111 = 211,111/x
  3. Step 3: Cross multiply
    97,248x = 211,111 × 211,111
  4. Step 4: Simplify right side
    97,248x = 44,567,854,321
  5. Step 5: Solve for x
    x = 44,567,854,321/97,248
  6. Step 6: Final answer
    x = 458,290.70

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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.