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Finding the Third Proportional to 109,070.25 and 228,073.50

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Solution

The third proportional to 109,070.25 and 228,073.50 is: 476,917.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,070.25 : 228,073.50 = 228,073.50 : x
  2. Step 2: Convert to fraction form
    109,070.25/228,073.50 = 228,073.50/x
  3. Step 3: Cross multiply
    109,070.25x = 228,073.50 × 228,073.50
  4. Step 4: Simplify right side
    109,070.25x = 52,017,521,402.25
  5. Step 5: Solve for x
    x = 52,017,521,402.25/109,070.25
  6. Step 6: Final answer
    x = 476,917.60

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.