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Finding the Third Proportional to 106,009.50 and 230,422.50

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Solution

The third proportional to 106,009.50 and 230,422.50 is: 500,846.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,009.50 : 230,422.50 = 230,422.50 : x
  2. Step 2: Convert to fraction form
    106,009.50/230,422.50 = 230,422.50/x
  3. Step 3: Cross multiply
    106,009.50x = 230,422.50 × 230,422.50
  4. Step 4: Simplify right side
    106,009.50x = 53,094,528,506.25
  5. Step 5: Solve for x
    x = 53,094,528,506.25/106,009.50
  6. Step 6: Final answer
    x = 500,846.89

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Why These Related Problems?

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