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Finding the Third Proportional to 220,967,429 and 334,522,119.50

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Solution

The third proportional to 220,967,429 and 334,522,119.50 is: 506,432,323.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,967,429 : 334,522,119.50 = 334,522,119.50 : x
  2. Step 2: Convert to fraction form
    220,967,429/334,522,119.50 = 334,522,119.50/x
  3. Step 3: Cross multiply
    220,967,429x = 334,522,119.50 × 334,522,119.50
  4. Step 4: Simplify right side
    220,967,429x = 111,905,048,434,772,288
  5. Step 5: Solve for x
    x = 111,905,048,434,772,288/220,967,429
  6. Step 6: Final answer
    x = 506,432,323.27

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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.