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Finding the Third Proportional to 104,800.13 and 227,323.13

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Solution

The third proportional to 104,800.13 and 227,323.13 is: 493,089.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,800.13 : 227,323.13 = 227,323.13 : x
  2. Step 2: Convert to fraction form
    104,800.13/227,323.13 = 227,323.13/x
  3. Step 3: Cross multiply
    104,800.13x = 227,323.13 × 227,323.13
  4. Step 4: Simplify right side
    104,800.13x = 51,675,803,159.77
  5. Step 5: Solve for x
    x = 51,675,803,159.77/104,800.13
  6. Step 6: Final answer
    x = 493,089.14

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Why These Related Problems?

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