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Finding the Third Proportional to 76,732,932 and 160,559,876

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Solution

The third proportional to 76,732,932 and 160,559,876 is: 335,963,622.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,732,932 : 160,559,876 = 160,559,876 : x
  2. Step 2: Convert to fraction form
    76,732,932/160,559,876 = 160,559,876/x
  3. Step 3: Cross multiply
    76,732,932x = 160,559,876 × 160,559,876
  4. Step 4: Simplify right side
    76,732,932x = 25,779,473,781,135,376
  5. Step 5: Solve for x
    x = 25,779,473,781,135,376/76,732,932
  6. Step 6: Final answer
    x = 335,963,622.26

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.