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Finding the Third Proportional to 220,967,424 and 334,522,112

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Solution

The third proportional to 220,967,424 and 334,522,112 is: 506,432,312.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,967,424 : 334,522,112 = 334,522,112 : x
  2. Step 2: Convert to fraction form
    220,967,424/334,522,112 = 334,522,112/x
  3. Step 3: Cross multiply
    220,967,424x = 334,522,112 × 334,522,112
  4. Step 4: Simplify right side
    220,967,424x = 111,905,043,416,940,544
  5. Step 5: Solve for x
    x = 111,905,043,416,940,544/220,967,424
  6. Step 6: Final answer
    x = 506,432,312.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.