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Finding the Third Proportional to 84,901.50 and 196,362

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Solution

The third proportional to 84,901.50 and 196,362 is: 454,150.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,901.50 : 196,362 = 196,362 : x
  2. Step 2: Convert to fraction form
    84,901.50/196,362 = 196,362/x
  3. Step 3: Cross multiply
    84,901.50x = 196,362 × 196,362
  4. Step 4: Simplify right side
    84,901.50x = 38,558,035,044
  5. Step 5: Solve for x
    x = 38,558,035,044/84,901.50
  6. Step 6: Final answer
    x = 454,150.22

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.