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Finding the Third Proportional to 76,015,762.50 and 165,965,244

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Solution

The third proportional to 76,015,762.50 and 165,965,244 is: 362,351,982.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,015,762.50 : 165,965,244 = 165,965,244 : x
  2. Step 2: Convert to fraction form
    76,015,762.50/165,965,244 = 165,965,244/x
  3. Step 3: Cross multiply
    76,015,762.50x = 165,965,244 × 165,965,244
  4. Step 4: Simplify right side
    76,015,762.50x = 27,544,462,215,979,536
  5. Step 5: Solve for x
    x = 27,544,462,215,979,536/76,015,762.50
  6. Step 6: Final answer
    x = 362,351,982.14

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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.