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Finding the Third Proportional to 99,595.50 and 233,313.75

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Solution

The third proportional to 99,595.50 and 233,313.75 is: 546,563.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,595.50 : 233,313.75 = 233,313.75 : x
  2. Step 2: Convert to fraction form
    99,595.50/233,313.75 = 233,313.75/x
  3. Step 3: Cross multiply
    99,595.50x = 233,313.75 × 233,313.75
  4. Step 4: Simplify right side
    99,595.50x = 54,435,305,939.06
  5. Step 5: Solve for x
    x = 54,435,305,939.06/99,595.50
  6. Step 6: Final answer
    x = 546,563.91

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.