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Finding the Third Proportional to 105,841.69 and 228,302.30

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Solution

The third proportional to 105,841.69 and 228,302.30 is: 492,451.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,841.69 : 228,302.30 = 228,302.30 : x
  2. Step 2: Convert to fraction form
    105,841.69/228,302.30 = 228,302.30/x
  3. Step 3: Cross multiply
    105,841.69x = 228,302.30 × 228,302.30
  4. Step 4: Simplify right side
    105,841.69x = 52,121,938,758.40
  5. Step 5: Solve for x
    x = 52,121,938,758.40/105,841.69
  6. Step 6: Final answer
    x = 492,451.89

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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.