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Finding the Third Proportional to 99,148.50 and 148,943.25

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Solution

The third proportional to 99,148.50 and 148,943.25 is: 223,746.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,148.50 : 148,943.25 = 148,943.25 : x
  2. Step 2: Convert to fraction form
    99,148.50/148,943.25 = 148,943.25/x
  3. Step 3: Cross multiply
    99,148.50x = 148,943.25 × 148,943.25
  4. Step 4: Simplify right side
    99,148.50x = 22,184,091,720.56
  5. Step 5: Solve for x
    x = 22,184,091,720.56/99,148.50
  6. Step 6: Final answer
    x = 223,746.12

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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.