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Finding the Third Proportional to 197,379,146 and 427,707,616

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Solution

The third proportional to 197,379,146 and 427,707,616 is: 926,814,248.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,379,146 : 427,707,616 = 427,707,616 : x
  2. Step 2: Convert to fraction form
    197,379,146/427,707,616 = 427,707,616/x
  3. Step 3: Cross multiply
    197,379,146x = 427,707,616 × 427,707,616
  4. Step 4: Simplify right side
    197,379,146x = 182,933,804,784,403,456
  5. Step 5: Solve for x
    x = 182,933,804,784,403,456/197,379,146
  6. Step 6: Final answer
    x = 926,814,248.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.