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Finding the Third Proportional to 98,363 and 147,396

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Solution

The third proportional to 98,363 and 147,396 is: 220,871.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,363 : 147,396 = 147,396 : x
  2. Step 2: Convert to fraction form
    98,363/147,396 = 147,396/x
  3. Step 3: Cross multiply
    98,363x = 147,396 × 147,396
  4. Step 4: Simplify right side
    98,363x = 21,725,580,816
  5. Step 5: Solve for x
    x = 21,725,580,816/98,363
  6. Step 6: Final answer
    x = 220,871.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.