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Finding the Third Proportional to 98,605 and 150,463.50

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Solution

The third proportional to 98,605 and 150,463.50 is: 229,595.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,605 : 150,463.50 = 150,463.50 : x
  2. Step 2: Convert to fraction form
    98,605/150,463.50 = 150,463.50/x
  3. Step 3: Cross multiply
    98,605x = 150,463.50 × 150,463.50
  4. Step 4: Simplify right side
    98,605x = 22,639,264,832.25
  5. Step 5: Solve for x
    x = 22,639,264,832.25/98,605
  6. Step 6: Final answer
    x = 229,595.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.