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Finding the Third Proportional to 106,112.25 and 230,638.50

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Solution

The third proportional to 106,112.25 and 230,638.50 is: 501,300.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,112.25 : 230,638.50 = 230,638.50 : x
  2. Step 2: Convert to fraction form
    106,112.25/230,638.50 = 230,638.50/x
  3. Step 3: Cross multiply
    106,112.25x = 230,638.50 × 230,638.50
  4. Step 4: Simplify right side
    106,112.25x = 53,194,117,682.25
  5. Step 5: Solve for x
    x = 53,194,117,682.25/106,112.25
  6. Step 6: Final answer
    x = 501,300.44

Related Problems

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1.5x scale

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.