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Finding the Third Proportional to 98,610 and 216,984

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Solution

The third proportional to 98,610 and 216,984 is: 477,457.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,610 : 216,984 = 216,984 : x
  2. Step 2: Convert to fraction form
    98,610/216,984 = 216,984/x
  3. Step 3: Cross multiply
    98,610x = 216,984 × 216,984
  4. Step 4: Simplify right side
    98,610x = 47,082,056,256
  5. Step 5: Solve for x
    x = 47,082,056,256/98,610
  6. Step 6: Final answer
    x = 477,457.22

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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.