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Finding the Third Proportional to 71,739,028 and 114,206,000

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Solution

The third proportional to 71,739,028 and 114,206,000 is: 181,811,920.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,739,028 : 114,206,000 = 114,206,000 : x
  2. Step 2: Convert to fraction form
    71,739,028/114,206,000 = 114,206,000/x
  3. Step 3: Cross multiply
    71,739,028x = 114,206,000 × 114,206,000
  4. Step 4: Simplify right side
    71,739,028x = 13,043,010,436,000,000
  5. Step 5: Solve for x
    x = 13,043,010,436,000,000/71,739,028
  6. Step 6: Final answer
    x = 181,811,920.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.