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Finding the Third Proportional to 228,381,652 and 342,642,483

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Solution

The third proportional to 228,381,652 and 342,642,483 is: 514,068,753.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,381,652 : 342,642,483 = 342,642,483 : x
  2. Step 2: Convert to fraction form
    228,381,652/342,642,483 = 342,642,483/x
  3. Step 3: Cross multiply
    228,381,652x = 342,642,483 × 342,642,483
  4. Step 4: Simplify right side
    228,381,652x = 117,403,871,156,405,296
  5. Step 5: Solve for x
    x = 117,403,871,156,405,296/228,381,652
  6. Step 6: Final answer
    x = 514,068,753.46

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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.