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Finding the Third Proportional to 98,905 and 216,765

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Solution

The third proportional to 98,905 and 216,765 is: 475,072.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,905 : 216,765 = 216,765 : x
  2. Step 2: Convert to fraction form
    98,905/216,765 = 216,765/x
  3. Step 3: Cross multiply
    98,905x = 216,765 × 216,765
  4. Step 4: Simplify right side
    98,905x = 46,987,065,225
  5. Step 5: Solve for x
    x = 46,987,065,225/98,905
  6. Step 6: Final answer
    x = 475,072.70

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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.