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Finding the Third Proportional to 71,821,932.75 and 111,438,157.50

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Solution

The third proportional to 71,821,932.75 and 111,438,157.50 is: 172,906,276.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,821,932.75 : 111,438,157.50 = 111,438,157.50 : x
  2. Step 2: Convert to fraction form
    71,821,932.75/111,438,157.50 = 111,438,157.50/x
  3. Step 3: Cross multiply
    71,821,932.75x = 111,438,157.50 × 111,438,157.50
  4. Step 4: Simplify right side
    71,821,932.75x = 12,418,462,946,994,806
  5. Step 5: Solve for x
    x = 12,418,462,946,994,806/71,821,932.75
  6. Step 6: Final answer
    x = 172,906,276.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.