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Finding the Third Proportional to 147,739,043,884 and 299,589,099,236

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Solution

The third proportional to 147,739,043,884 and 299,589,099,236 is: 607,514,615,104.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,739,043,884 : 299,589,099,236 = 299,589,099,236 : x
  2. Step 2: Convert to fraction form
    147,739,043,884/299,589,099,236 = 299,589,099,236/x
  3. Step 3: Cross multiply
    147,739,043,884x = 299,589,099,236 × 299,589,099,236
  4. Step 4: Simplify right side
    147,739,043,884x = 89,753,628,381,037,859,962,880
  5. Step 5: Solve for x
    x = 89,753,628,381,037,859,962,880/147,739,043,884
  6. Step 6: Final answer
    x = 607,514,615,104.11

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.