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Finding the Third Proportional to 98,520.94 and 152,864.06

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Solution

The third proportional to 98,520.94 and 152,864.06 is: 237,182.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,520.94 : 152,864.06 = 152,864.06 : x
  2. Step 2: Convert to fraction form
    98,520.94/152,864.06 = 152,864.06/x
  3. Step 3: Cross multiply
    98,520.94x = 152,864.06 × 152,864.06
  4. Step 4: Simplify right side
    98,520.94x = 23,367,421,604.00
  5. Step 5: Solve for x
    x = 23,367,421,604.00/98,520.94
  6. Step 6: Final answer
    x = 237,182.29

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