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Finding the Third Proportional to 99,483 and 154,267.50

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Solution

The third proportional to 99,483 and 154,267.50 is: 239,221.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,483 : 154,267.50 = 154,267.50 : x
  2. Step 2: Convert to fraction form
    99,483/154,267.50 = 154,267.50/x
  3. Step 3: Cross multiply
    99,483x = 154,267.50 × 154,267.50
  4. Step 4: Simplify right side
    99,483x = 23,798,461,556.25
  5. Step 5: Solve for x
    x = 23,798,461,556.25/99,483
  6. Step 6: Final answer
    x = 239,221.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.