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Finding the Third Proportional to 97,111.13 and 211,874.63

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Solution

The third proportional to 97,111.13 and 211,874.63 is: 462,262.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,111.13 : 211,874.63 = 211,874.63 : x
  2. Step 2: Convert to fraction form
    97,111.13/211,874.63 = 211,874.63/x
  3. Step 3: Cross multiply
    97,111.13x = 211,874.63 × 211,874.63
  4. Step 4: Simplify right side
    97,111.13x = 44,890,856,718.89
  5. Step 5: Solve for x
    x = 44,890,856,718.89/97,111.13
  6. Step 6: Final answer
    x = 462,262.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.