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Finding the Third Proportional to 97,804 and 147,640

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Solution

The third proportional to 97,804 and 147,640 is: 222,869.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,804 : 147,640 = 147,640 : x
  2. Step 2: Convert to fraction form
    97,804/147,640 = 147,640/x
  3. Step 3: Cross multiply
    97,804x = 147,640 × 147,640
  4. Step 4: Simplify right side
    97,804x = 21,797,569,600
  5. Step 5: Solve for x
    x = 21,797,569,600/97,804
  6. Step 6: Final answer
    x = 222,869.92

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.