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Finding the Third Proportional to 74,595,069 and 156,920,165

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Solution

The third proportional to 74,595,069 and 156,920,165 is: 330,101,419.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,595,069 : 156,920,165 = 156,920,165 : x
  2. Step 2: Convert to fraction form
    74,595,069/156,920,165 = 156,920,165/x
  3. Step 3: Cross multiply
    74,595,069x = 156,920,165 × 156,920,165
  4. Step 4: Simplify right side
    74,595,069x = 24,623,938,183,627,224
  5. Step 5: Solve for x
    x = 24,623,938,183,627,224/74,595,069
  6. Step 6: Final answer
    x = 330,101,419.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.