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Finding the Third Proportional to 98,592 and 212,664

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Solution

The third proportional to 98,592 and 212,664 is: 458,718.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,592 : 212,664 = 212,664 : x
  2. Step 2: Convert to fraction form
    98,592/212,664 = 212,664/x
  3. Step 3: Cross multiply
    98,592x = 212,664 × 212,664
  4. Step 4: Simplify right side
    98,592x = 45,225,976,896
  5. Step 5: Solve for x
    x = 45,225,976,896/98,592
  6. Step 6: Final answer
    x = 458,718.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.