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Finding the Third Proportional to 76,037,244 and 156,105,447

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Solution

The third proportional to 76,037,244 and 156,105,447 is: 320,486,505.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,037,244 : 156,105,447 = 156,105,447 : x
  2. Step 2: Convert to fraction form
    76,037,244/156,105,447 = 156,105,447/x
  3. Step 3: Cross multiply
    76,037,244x = 156,105,447 × 156,105,447
  4. Step 4: Simplify right side
    76,037,244x = 24,368,910,583,069,808
  5. Step 5: Solve for x
    x = 24,368,910,583,069,808/76,037,244
  6. Step 6: Final answer
    x = 320,486,505.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.