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Finding the Third Proportional to 98,733.94 and 152,809.03

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Solution

The third proportional to 98,733.94 and 152,809.03 is: 236,500.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,733.94 : 152,809.03 = 152,809.03 : x
  2. Step 2: Convert to fraction form
    98,733.94/152,809.03 = 152,809.03/x
  3. Step 3: Cross multiply
    98,733.94x = 152,809.03 × 152,809.03
  4. Step 4: Simplify right side
    98,733.94x = 23,350,600,031.56
  5. Step 5: Solve for x
    x = 23,350,600,031.56/98,733.94
  6. Step 6: Final answer
    x = 236,500.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.