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Finding the Third Proportional to 40,802,503.40 and 89,620,735.55

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Solution

The third proportional to 40,802,503.40 and 89,620,735.55 is: 196,847,633.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,802,503.40 : 89,620,735.55 = 89,620,735.55 : x
  2. Step 2: Convert to fraction form
    40,802,503.40/89,620,735.55 = 89,620,735.55/x
  3. Step 3: Cross multiply
    40,802,503.40x = 89,620,735.55 × 89,620,735.55
  4. Step 4: Simplify right side
    40,802,503.40x = 8,031,876,241,013,438
  5. Step 5: Solve for x
    x = 8,031,876,241,013,438/40,802,503.40
  6. Step 6: Final answer
    x = 196,847,633.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.