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Finding the Third Proportional to 99,813.75 and 154,180.50

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Solution

The third proportional to 99,813.75 and 154,180.50 is: 238,159.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,813.75 : 154,180.50 = 154,180.50 : x
  2. Step 2: Convert to fraction form
    99,813.75/154,180.50 = 154,180.50/x
  3. Step 3: Cross multiply
    99,813.75x = 154,180.50 × 154,180.50
  4. Step 4: Simplify right side
    99,813.75x = 23,771,626,580.25
  5. Step 5: Solve for x
    x = 23,771,626,580.25/99,813.75
  6. Step 6: Final answer
    x = 238,159.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.