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Finding the Third Proportional to 198,095.63 and 418,061.25

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Solution

The third proportional to 198,095.63 and 418,061.25 is: 882,276.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,095.63 : 418,061.25 = 418,061.25 : x
  2. Step 2: Convert to fraction form
    198,095.63/418,061.25 = 418,061.25/x
  3. Step 3: Cross multiply
    198,095.63x = 418,061.25 × 418,061.25
  4. Step 4: Simplify right side
    198,095.63x = 174,775,208,751.56
  5. Step 5: Solve for x
    x = 174,775,208,751.56/198,095.63
  6. Step 6: Final answer
    x = 882,276.97

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