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Finding the Third Proportional to 71,739,030 and 114,206,003

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Solution

The third proportional to 71,739,030 and 114,206,003 is: 181,811,924.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,739,030 : 114,206,003 = 114,206,003 : x
  2. Step 2: Convert to fraction form
    71,739,030/114,206,003 = 114,206,003/x
  3. Step 3: Cross multiply
    71,739,030x = 114,206,003 × 114,206,003
  4. Step 4: Simplify right side
    71,739,030x = 13,043,011,121,236,008
  5. Step 5: Solve for x
    x = 13,043,011,121,236,008/71,739,030
  6. Step 6: Final answer
    x = 181,811,924.71

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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.