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Finding the Third Proportional to 224,359,288 and 335,642,064

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Solution

The third proportional to 224,359,288 and 335,642,064 is: 502,121,379.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,359,288 : 335,642,064 = 335,642,064 : x
  2. Step 2: Convert to fraction form
    224,359,288/335,642,064 = 335,642,064/x
  3. Step 3: Cross multiply
    224,359,288x = 335,642,064 × 335,642,064
  4. Step 4: Simplify right side
    224,359,288x = 112,655,595,126,180,096
  5. Step 5: Solve for x
    x = 112,655,595,126,180,096/224,359,288
  6. Step 6: Final answer
    x = 502,121,379.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.