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Finding the Third Proportional to 106,298.25 and 230,593.50

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Solution

The third proportional to 106,298.25 and 230,593.50 is: 500,228.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,298.25 : 230,593.50 = 230,593.50 : x
  2. Step 2: Convert to fraction form
    106,298.25/230,593.50 = 230,593.50/x
  3. Step 3: Cross multiply
    106,298.25x = 230,593.50 × 230,593.50
  4. Step 4: Simplify right side
    106,298.25x = 53,173,362,242.25
  5. Step 5: Solve for x
    x = 53,173,362,242.25/106,298.25
  6. Step 6: Final answer
    x = 500,228.01

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.