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Finding the Third Proportional to 97,492 and 210,976

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Solution

The third proportional to 97,492 and 210,976 is: 456,559.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,492 : 210,976 = 210,976 : x
  2. Step 2: Convert to fraction form
    97,492/210,976 = 210,976/x
  3. Step 3: Cross multiply
    97,492x = 210,976 × 210,976
  4. Step 4: Simplify right side
    97,492x = 44,510,872,576
  5. Step 5: Solve for x
    x = 44,510,872,576/97,492
  6. Step 6: Final answer
    x = 456,559.23

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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.