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Finding the Third Proportional to 105,350.63 and 227,539.13

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Solution

The third proportional to 105,350.63 and 227,539.13 is: 491,445.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,350.63 : 227,539.13 = 227,539.13 : x
  2. Step 2: Convert to fraction form
    105,350.63/227,539.13 = 227,539.13/x
  3. Step 3: Cross multiply
    105,350.63x = 227,539.13 × 227,539.13
  4. Step 4: Simplify right side
    105,350.63x = 51,774,053,405.77
  5. Step 5: Solve for x
    x = 51,774,053,405.77/105,350.63
  6. Step 6: Final answer
    x = 491,445.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.