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Finding the Third Proportional to 76,296,014 and 163,500,892

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Solution

The third proportional to 76,296,014 and 163,500,892 is: 350,379,269.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,296,014 : 163,500,892 = 163,500,892 : x
  2. Step 2: Convert to fraction form
    76,296,014/163,500,892 = 163,500,892/x
  3. Step 3: Cross multiply
    76,296,014x = 163,500,892 × 163,500,892
  4. Step 4: Simplify right side
    76,296,014x = 26,732,541,684,795,664
  5. Step 5: Solve for x
    x = 26,732,541,684,795,664/76,296,014
  6. Step 6: Final answer
    x = 350,379,269.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.