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Finding the Third Proportional to 99,819 and 149,829.75

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Solution

The third proportional to 99,819 and 149,829.75 is: 224,896.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,819 : 149,829.75 = 149,829.75 : x
  2. Step 2: Convert to fraction form
    99,819/149,829.75 = 149,829.75/x
  3. Step 3: Cross multiply
    99,819x = 149,829.75 × 149,829.75
  4. Step 4: Simplify right side
    99,819x = 22,448,953,985.06
  5. Step 5: Solve for x
    x = 22,448,953,985.06/99,819
  6. Step 6: Final answer
    x = 224,896.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.