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Finding the Third Proportional to 98,792 and 216,322

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Solution

The third proportional to 98,792 and 216,322 is: 473,674.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,792 : 216,322 = 216,322 : x
  2. Step 2: Convert to fraction form
    98,792/216,322 = 216,322/x
  3. Step 3: Cross multiply
    98,792x = 216,322 × 216,322
  4. Step 4: Simplify right side
    98,792x = 46,795,207,684
  5. Step 5: Solve for x
    x = 46,795,207,684/98,792
  6. Step 6: Final answer
    x = 473,674.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.