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Finding the Third Proportional to 98,465.63 and 152,760.94

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Solution

The third proportional to 98,465.63 and 152,760.94 is: 236,995.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,465.63 : 152,760.94 = 152,760.94 : x
  2. Step 2: Convert to fraction form
    98,465.63/152,760.94 = 152,760.94/x
  3. Step 3: Cross multiply
    98,465.63x = 152,760.94 × 152,760.94
  4. Step 4: Simplify right side
    98,465.63x = 23,335,904,025.88
  5. Step 5: Solve for x
    x = 23,335,904,025.88/98,465.63
  6. Step 6: Final answer
    x = 236,995.44

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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.