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Finding the Third Proportional to 48,632.91 and 106,492.22

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Solution

The third proportional to 48,632.91 and 106,492.22 is: 233,187.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,632.91 : 106,492.22 = 106,492.22 : x
  2. Step 2: Convert to fraction form
    48,632.91/106,492.22 = 106,492.22/x
  3. Step 3: Cross multiply
    48,632.91x = 106,492.22 × 106,492.22
  4. Step 4: Simplify right side
    48,632.91x = 11,340,592,654.30
  5. Step 5: Solve for x
    x = 11,340,592,654.30/48,632.91
  6. Step 6: Final answer
    x = 233,187.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.