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Finding the Third Proportional to 98,700 and 217,083

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Solution

The third proportional to 98,700 and 217,083 is: 477,457.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,700 : 217,083 = 217,083 : x
  2. Step 2: Convert to fraction form
    98,700/217,083 = 217,083/x
  3. Step 3: Cross multiply
    98,700x = 217,083 × 217,083
  4. Step 4: Simplify right side
    98,700x = 47,125,028,889
  5. Step 5: Solve for x
    x = 47,125,028,889/98,700
  6. Step 6: Final answer
    x = 477,457.23

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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.