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Finding the Third Proportional to 72,102,996 and 160,326,936

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Solution

The third proportional to 72,102,996 and 160,326,936 is: 356,500,115.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,102,996 : 160,326,936 = 160,326,936 : x
  2. Step 2: Convert to fraction form
    72,102,996/160,326,936 = 160,326,936/x
  3. Step 3: Cross multiply
    72,102,996x = 160,326,936 × 160,326,936
  4. Step 4: Simplify right side
    72,102,996x = 25,704,726,407,148,096
  5. Step 5: Solve for x
    x = 25,704,726,407,148,096/72,102,996
  6. Step 6: Final answer
    x = 356,500,115.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.