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Finding the Third Proportional to 98,011.50 and 212,619

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Solution

The third proportional to 98,011.50 and 212,619 is: 461,240.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,011.50 : 212,619 = 212,619 : x
  2. Step 2: Convert to fraction form
    98,011.50/212,619 = 212,619/x
  3. Step 3: Cross multiply
    98,011.50x = 212,619 × 212,619
  4. Step 4: Simplify right side
    98,011.50x = 45,206,839,161
  5. Step 5: Solve for x
    x = 45,206,839,161/98,011.50
  6. Step 6: Final answer
    x = 461,240.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.