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Finding the Third Proportional to 98,217.56 and 209,314.13

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Solution

The third proportional to 98,217.56 and 209,314.13 is: 446,075.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,217.56 : 209,314.13 = 209,314.13 : x
  2. Step 2: Convert to fraction form
    98,217.56/209,314.13 = 209,314.13/x
  3. Step 3: Cross multiply
    98,217.56x = 209,314.13 × 209,314.13
  4. Step 4: Simplify right side
    98,217.56x = 43,812,402,924.52
  5. Step 5: Solve for x
    x = 43,812,402,924.52/98,217.56
  6. Step 6: Final answer
    x = 446,075.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.