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Finding the Third Proportional to 89,896 and 197,072

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Solution

The third proportional to 89,896 and 197,072 is: 432,025.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,896 : 197,072 = 197,072 : x
  2. Step 2: Convert to fraction form
    89,896/197,072 = 197,072/x
  3. Step 3: Cross multiply
    89,896x = 197,072 × 197,072
  4. Step 4: Simplify right side
    89,896x = 38,837,373,184
  5. Step 5: Solve for x
    x = 38,837,373,184/89,896
  6. Step 6: Final answer
    x = 432,025.60

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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.