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Finding the Third Proportional to 97,108.88 and 211,870.13

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Solution

The third proportional to 97,108.88 and 211,870.13 is: 462,253.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,108.88 : 211,870.13 = 211,870.13 : x
  2. Step 2: Convert to fraction form
    97,108.88/211,870.13 = 211,870.13/x
  3. Step 3: Cross multiply
    97,108.88x = 211,870.13 × 211,870.13
  4. Step 4: Simplify right side
    97,108.88x = 44,888,949,867.52
  5. Step 5: Solve for x
    x = 44,888,949,867.52/97,108.88
  6. Step 6: Final answer
    x = 462,253.83

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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.