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Finding the Third Proportional to 98,730.14 and 209,226.80

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Solution

The third proportional to 98,730.14 and 209,226.80 is: 443,388.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,730.14 : 209,226.80 = 209,226.80 : x
  2. Step 2: Convert to fraction form
    98,730.14/209,226.80 = 209,226.80/x
  3. Step 3: Cross multiply
    98,730.14x = 209,226.80 × 209,226.80
  4. Step 4: Simplify right side
    98,730.14x = 43,775,852,530.57
  5. Step 5: Solve for x
    x = 43,775,852,530.57/98,730.14
  6. Step 6: Final answer
    x = 443,388.94

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.