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Finding the Third Proportional to 98,364 and 211,065

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Solution

The third proportional to 98,364 and 211,065 is: 452,893.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,364 : 211,065 = 211,065 : x
  2. Step 2: Convert to fraction form
    98,364/211,065 = 211,065/x
  3. Step 3: Cross multiply
    98,364x = 211,065 × 211,065
  4. Step 4: Simplify right side
    98,364x = 44,548,434,225
  5. Step 5: Solve for x
    x = 44,548,434,225/98,364
  6. Step 6: Final answer
    x = 452,893.68

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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.