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Finding the Third Proportional to 89,465.63 and 192,943.13

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Solution

The third proportional to 89,465.63 and 192,943.13 is: 416,104.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,465.63 : 192,943.13 = 192,943.13 : x
  2. Step 2: Convert to fraction form
    89,465.63/192,943.13 = 192,943.13/x
  3. Step 3: Cross multiply
    89,465.63x = 192,943.13 × 192,943.13
  4. Step 4: Simplify right side
    89,465.63x = 37,227,049,484.77
  5. Step 5: Solve for x
    x = 37,227,049,484.77/89,465.63
  6. Step 6: Final answer
    x = 416,104.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.