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Finding the Third Proportional to 104,802.19 and 227,326.50

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Solution

The third proportional to 104,802.19 and 227,326.50 is: 493,094.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,802.19 : 227,326.50 = 227,326.50 : x
  2. Step 2: Convert to fraction form
    104,802.19/227,326.50 = 227,326.50/x
  3. Step 3: Cross multiply
    104,802.19x = 227,326.50 × 227,326.50
  4. Step 4: Simplify right side
    104,802.19x = 51,677,337,602.25
  5. Step 5: Solve for x
    x = 51,677,337,602.25/104,802.19
  6. Step 6: Final answer
    x = 493,094.07

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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.