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Finding the Third Proportional to 98,396 and 210,472

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Solution

The third proportional to 98,396 and 210,472 is: 450,205.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,396 : 210,472 = 210,472 : x
  2. Step 2: Convert to fraction form
    98,396/210,472 = 210,472/x
  3. Step 3: Cross multiply
    98,396x = 210,472 × 210,472
  4. Step 4: Simplify right side
    98,396x = 44,298,462,784
  5. Step 5: Solve for x
    x = 44,298,462,784/98,396
  6. Step 6: Final answer
    x = 450,205.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.