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Finding the Third Proportional to 98,766 and 216,270

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Solution

The third proportional to 98,766 and 216,270 is: 473,571.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,766 : 216,270 = 216,270 : x
  2. Step 2: Convert to fraction form
    98,766/216,270 = 216,270/x
  3. Step 3: Cross multiply
    98,766x = 216,270 × 216,270
  4. Step 4: Simplify right side
    98,766x = 46,772,712,900
  5. Step 5: Solve for x
    x = 46,772,712,900/98,766
  6. Step 6: Final answer
    x = 473,571.00

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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.