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Finding the Third Proportional to 98,782.50 and 208,024.50

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Solution

The third proportional to 98,782.50 and 208,024.50 is: 438,075.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,782.50 : 208,024.50 = 208,024.50 : x
  2. Step 2: Convert to fraction form
    98,782.50/208,024.50 = 208,024.50/x
  3. Step 3: Cross multiply
    98,782.50x = 208,024.50 × 208,024.50
  4. Step 4: Simplify right side
    98,782.50x = 43,274,192,600.25
  5. Step 5: Solve for x
    x = 43,274,192,600.25/98,782.50
  6. Step 6: Final answer
    x = 438,075.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.