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Finding the Third Proportional to 99,615 and 149,530.50

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Solution

The third proportional to 99,615 and 149,530.50 is: 224,457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,615 : 149,530.50 = 149,530.50 : x
  2. Step 2: Convert to fraction form
    99,615/149,530.50 = 149,530.50/x
  3. Step 3: Cross multiply
    99,615x = 149,530.50 × 149,530.50
  4. Step 4: Simplify right side
    99,615x = 22,359,370,430.25
  5. Step 5: Solve for x
    x = 22,359,370,430.25/99,615
  6. Step 6: Final answer
    x = 224,457.87

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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.