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Finding the Third Proportional to 109,461.75 and 235,809.75

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Solution

The third proportional to 109,461.75 and 235,809.75 is: 507,996.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,461.75 : 235,809.75 = 235,809.75 : x
  2. Step 2: Convert to fraction form
    109,461.75/235,809.75 = 235,809.75/x
  3. Step 3: Cross multiply
    109,461.75x = 235,809.75 × 235,809.75
  4. Step 4: Simplify right side
    109,461.75x = 55,606,238,195.06
  5. Step 5: Solve for x
    x = 55,606,238,195.06/109,461.75
  6. Step 6: Final answer
    x = 507,996.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.