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Finding the Third Proportional to 48,810.09 and 98,978.20

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Solution

The third proportional to 48,810.09 and 98,978.20 is: 200,710.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,810.09 : 98,978.20 = 98,978.20 : x
  2. Step 2: Convert to fraction form
    48,810.09/98,978.20 = 98,978.20/x
  3. Step 3: Cross multiply
    48,810.09x = 98,978.20 × 98,978.20
  4. Step 4: Simplify right side
    48,810.09x = 9,796,684,693.85
  5. Step 5: Solve for x
    x = 9,796,684,693.85/48,810.09
  6. Step 6: Final answer
    x = 200,710.22

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.