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Finding the Third Proportional to 53,743,758.75 and 109,743,311.25

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Solution

The third proportional to 53,743,758.75 and 109,743,311.25 is: 224,092,892.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,743,758.75 : 109,743,311.25 = 109,743,311.25 : x
  2. Step 2: Convert to fraction form
    53,743,758.75/109,743,311.25 = 109,743,311.25/x
  3. Step 3: Cross multiply
    53,743,758.75x = 109,743,311.25 × 109,743,311.25
  4. Step 4: Simplify right side
    53,743,758.75x = 12,043,594,364,114,376
  5. Step 5: Solve for x
    x = 12,043,594,364,114,376/53,743,758.75
  6. Step 6: Final answer
    x = 224,092,892.72

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.