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Finding the Third Proportional to 98,116 and 213,304

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Solution

The third proportional to 98,116 and 213,304 is: 463,722.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,116 : 213,304 = 213,304 : x
  2. Step 2: Convert to fraction form
    98,116/213,304 = 213,304/x
  3. Step 3: Cross multiply
    98,116x = 213,304 × 213,304
  4. Step 4: Simplify right side
    98,116x = 45,498,596,416
  5. Step 5: Solve for x
    x = 45,498,596,416/98,116
  6. Step 6: Final answer
    x = 463,722.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.