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Finding the Third Proportional to 102,562.88 and 221,528.25

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Solution

The third proportional to 102,562.88 and 221,528.25 is: 478,484.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,562.88 : 221,528.25 = 221,528.25 : x
  2. Step 2: Convert to fraction form
    102,562.88/221,528.25 = 221,528.25/x
  3. Step 3: Cross multiply
    102,562.88x = 221,528.25 × 221,528.25
  4. Step 4: Simplify right side
    102,562.88x = 49,074,765,548.06
  5. Step 5: Solve for x
    x = 49,074,765,548.06/102,562.88
  6. Step 6: Final answer
    x = 478,484.69

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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.