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Finding the Third Proportional to 201,025.13 and 310,984.31

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Solution

The third proportional to 201,025.13 and 310,984.31 is: 481,090.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,025.13 : 310,984.31 = 310,984.31 : x
  2. Step 2: Convert to fraction form
    201,025.13/310,984.31 = 310,984.31/x
  3. Step 3: Cross multiply
    201,025.13x = 310,984.31 × 310,984.31
  4. Step 4: Simplify right side
    201,025.13x = 96,711,242,621.10
  5. Step 5: Solve for x
    x = 96,711,242,621.10/201,025.13
  6. Step 6: Final answer
    x = 481,090.32

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.