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Finding the Third Proportional to 98,368 and 211,073

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Solution

The third proportional to 98,368 and 211,073 is: 452,909.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,368 : 211,073 = 211,073 : x
  2. Step 2: Convert to fraction form
    98,368/211,073 = 211,073/x
  3. Step 3: Cross multiply
    98,368x = 211,073 × 211,073
  4. Step 4: Simplify right side
    98,368x = 44,551,811,329
  5. Step 5: Solve for x
    x = 44,551,811,329/98,368
  6. Step 6: Final answer
    x = 452,909.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.