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Finding the Third Proportional to 89,989 and 196,928

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Solution

The third proportional to 89,989 and 196,928 is: 430,948.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,989 : 196,928 = 196,928 : x
  2. Step 2: Convert to fraction form
    89,989/196,928 = 196,928/x
  3. Step 3: Cross multiply
    89,989x = 196,928 × 196,928
  4. Step 4: Simplify right side
    89,989x = 38,780,637,184
  5. Step 5: Solve for x
    x = 38,780,637,184/89,989
  6. Step 6: Final answer
    x = 430,948.64

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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.