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Finding the Third Proportional to 98,705 and 216,614

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Solution

The third proportional to 98,705 and 216,614 is: 475,372.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,705 : 216,614 = 216,614 : x
  2. Step 2: Convert to fraction form
    98,705/216,614 = 216,614/x
  3. Step 3: Cross multiply
    98,705x = 216,614 × 216,614
  4. Step 4: Simplify right side
    98,705x = 46,921,624,996
  5. Step 5: Solve for x
    x = 46,921,624,996/98,705
  6. Step 6: Final answer
    x = 475,372.32

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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.