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Finding the Third Proportional to 96,151.50 and 210,399.75

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Solution

The third proportional to 96,151.50 and 210,399.75 is: 460,399.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,151.50 : 210,399.75 = 210,399.75 : x
  2. Step 2: Convert to fraction form
    96,151.50/210,399.75 = 210,399.75/x
  3. Step 3: Cross multiply
    96,151.50x = 210,399.75 × 210,399.75
  4. Step 4: Simplify right side
    96,151.50x = 44,268,054,800.06
  5. Step 5: Solve for x
    x = 44,268,054,800.06/96,151.50
  6. Step 6: Final answer
    x = 460,399.00

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.