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Finding the Third Proportional to 76,193,148 and 166,942,795.50

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Solution

The third proportional to 76,193,148 and 166,942,795.50 is: 365,779,570.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,193,148 : 166,942,795.50 = 166,942,795.50 : x
  2. Step 2: Convert to fraction form
    76,193,148/166,942,795.50 = 166,942,795.50/x
  3. Step 3: Cross multiply
    76,193,148x = 166,942,795.50 × 166,942,795.50
  4. Step 4: Simplify right side
    76,193,148x = 27,869,896,969,354,820
  5. Step 5: Solve for x
    x = 27,869,896,969,354,820/76,193,148
  6. Step 6: Final answer
    x = 365,779,570.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.