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Finding the Third Proportional to 98,071 and 211,693

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Solution

The third proportional to 98,071 and 211,693 is: 456,953.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,071 : 211,693 = 211,693 : x
  2. Step 2: Convert to fraction form
    98,071/211,693 = 211,693/x
  3. Step 3: Cross multiply
    98,071x = 211,693 × 211,693
  4. Step 4: Simplify right side
    98,071x = 44,813,926,249
  5. Step 5: Solve for x
    x = 44,813,926,249/98,071
  6. Step 6: Final answer
    x = 456,953.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.