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Finding the Third Proportional to 76,056,461 and 166,050,110

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Solution

The third proportional to 76,056,461 and 166,050,110 is: 362,528,556.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,056,461 : 166,050,110 = 166,050,110 : x
  2. Step 2: Convert to fraction form
    76,056,461/166,050,110 = 166,050,110/x
  3. Step 3: Cross multiply
    76,056,461x = 166,050,110 × 166,050,110
  4. Step 4: Simplify right side
    76,056,461x = 27,572,639,031,012,100
  5. Step 5: Solve for x
    x = 27,572,639,031,012,100/76,056,461
  6. Step 6: Final answer
    x = 362,528,556.66

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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.