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Finding the Third Proportional to 71,971,271 and 156,721,101

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Solution

The third proportional to 71,971,271 and 156,721,101 is: 341,268,163.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,971,271 : 156,721,101 = 156,721,101 : x
  2. Step 2: Convert to fraction form
    71,971,271/156,721,101 = 156,721,101/x
  3. Step 3: Cross multiply
    71,971,271x = 156,721,101 × 156,721,101
  4. Step 4: Simplify right side
    71,971,271x = 24,561,503,498,652,200
  5. Step 5: Solve for x
    x = 24,561,503,498,652,200/71,971,271
  6. Step 6: Final answer
    x = 341,268,163.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.