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Finding the Third Proportional to 192,501,704 and 415,684,840

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Solution

The third proportional to 192,501,704 and 415,684,840 is: 897,622,631.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,501,704 : 415,684,840 = 415,684,840 : x
  2. Step 2: Convert to fraction form
    192,501,704/415,684,840 = 415,684,840/x
  3. Step 3: Cross multiply
    192,501,704x = 415,684,840 × 415,684,840
  4. Step 4: Simplify right side
    192,501,704x = 172,793,886,205,825,600
  5. Step 5: Solve for x
    x = 172,793,886,205,825,600/192,501,704
  6. Step 6: Final answer
    x = 897,622,631.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.