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Finding the Third Proportional to 99,315 and 149,194.50

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Solution

The third proportional to 99,315 and 149,194.50 is: 224,125.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,315 : 149,194.50 = 149,194.50 : x
  2. Step 2: Convert to fraction form
    99,315/149,194.50 = 149,194.50/x
  3. Step 3: Cross multiply
    99,315x = 149,194.50 × 149,194.50
  4. Step 4: Simplify right side
    99,315x = 22,258,998,830.25
  5. Step 5: Solve for x
    x = 22,258,998,830.25/99,315
  6. Step 6: Final answer
    x = 224,125.25

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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.