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Finding the Third Proportional to 98,772.75 and 213,502.50

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Solution

The third proportional to 98,772.75 and 213,502.50 is: 461,496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,772.75 : 213,502.50 = 213,502.50 : x
  2. Step 2: Convert to fraction form
    98,772.75/213,502.50 = 213,502.50/x
  3. Step 3: Cross multiply
    98,772.75x = 213,502.50 × 213,502.50
  4. Step 4: Simplify right side
    98,772.75x = 45,583,317,506.25
  5. Step 5: Solve for x
    x = 45,583,317,506.25/98,772.75
  6. Step 6: Final answer
    x = 461,496.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.