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Finding the Third Proportional to 105,148.13 and 228,042.84

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Solution

The third proportional to 105,148.13 and 228,042.84 is: 494,574.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,148.13 : 228,042.84 = 228,042.84 : x
  2. Step 2: Convert to fraction form
    105,148.13/228,042.84 = 228,042.84/x
  3. Step 3: Cross multiply
    105,148.13x = 228,042.84 × 228,042.84
  4. Step 4: Simplify right side
    105,148.13x = 52,003,538,585.59
  5. Step 5: Solve for x
    x = 52,003,538,585.59/105,148.13
  6. Step 6: Final answer
    x = 494,574.09

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