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Finding the Third Proportional to 102,628.13 and 153,529.88

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Solution

The third proportional to 102,628.13 and 153,529.88 is: 229,678.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,628.13 : 153,529.88 = 153,529.88 : x
  2. Step 2: Convert to fraction form
    102,628.13/153,529.88 = 153,529.88/x
  3. Step 3: Cross multiply
    102,628.13x = 153,529.88 × 153,529.88
  4. Step 4: Simplify right side
    102,628.13x = 23,571,422,517.52
  5. Step 5: Solve for x
    x = 23,571,422,517.52/102,628.13
  6. Step 6: Final answer
    x = 229,678.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.