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Finding the Third Proportional to 45,232.88 and 96,477.19

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Solution

The third proportional to 45,232.88 and 96,477.19 is: 205,776.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,232.88 : 96,477.19 = 96,477.19 : x
  2. Step 2: Convert to fraction form
    45,232.88/96,477.19 = 96,477.19/x
  3. Step 3: Cross multiply
    45,232.88x = 96,477.19 × 96,477.19
  4. Step 4: Simplify right side
    45,232.88x = 9,307,847,707.91
  5. Step 5: Solve for x
    x = 9,307,847,707.91/45,232.88
  6. Step 6: Final answer
    x = 205,776.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.