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Finding the Third Proportional to 98,738 and 216,783

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Solution

The third proportional to 98,738 and 216,783 is: 475,955.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,738 : 216,783 = 216,783 : x
  2. Step 2: Convert to fraction form
    98,738/216,783 = 216,783/x
  3. Step 3: Cross multiply
    98,738x = 216,783 × 216,783
  4. Step 4: Simplify right side
    98,738x = 46,994,869,089
  5. Step 5: Solve for x
    x = 46,994,869,089/98,738
  6. Step 6: Final answer
    x = 475,955.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.