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Finding the Third Proportional to 100,023 and 236,113.50

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Solution

The third proportional to 100,023 and 236,113.50 is: 557,367.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,023 : 236,113.50 = 236,113.50 : x
  2. Step 2: Convert to fraction form
    100,023/236,113.50 = 236,113.50/x
  3. Step 3: Cross multiply
    100,023x = 236,113.50 × 236,113.50
  4. Step 4: Simplify right side
    100,023x = 55,749,584,882.25
  5. Step 5: Solve for x
    x = 55,749,584,882.25/100,023
  6. Step 6: Final answer
    x = 557,367.65

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.