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Finding the Third Proportional to 89,973 and 196,895.25

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Solution

The third proportional to 89,973 and 196,895.25 is: 430,881.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,973 : 196,895.25 = 196,895.25 : x
  2. Step 2: Convert to fraction form
    89,973/196,895.25 = 196,895.25/x
  3. Step 3: Cross multiply
    89,973x = 196,895.25 × 196,895.25
  4. Step 4: Simplify right side
    89,973x = 38,767,739,472.56
  5. Step 5: Solve for x
    x = 38,767,739,472.56/89,973
  6. Step 6: Final answer
    x = 430,881.93

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