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Finding the Third Proportional to 76,666,050 and 166,267,476

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Solution

The third proportional to 76,666,050 and 166,267,476 is: 360,588,207.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,666,050 : 166,267,476 = 166,267,476 : x
  2. Step 2: Convert to fraction form
    76,666,050/166,267,476 = 166,267,476/x
  3. Step 3: Cross multiply
    76,666,050x = 166,267,476 × 166,267,476
  4. Step 4: Simplify right side
    76,666,050x = 27,644,873,575,410,576
  5. Step 5: Solve for x
    x = 27,644,873,575,410,576/76,666,050
  6. Step 6: Final answer
    x = 360,588,207.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.