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Finding the Third Proportional to 192,077,902.13 and 413,287,953.75

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Solution

The third proportional to 192,077,902.13 and 413,287,953.75 is: 889,258,633.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,077,902.13 : 413,287,953.75 = 413,287,953.75 : x
  2. Step 2: Convert to fraction form
    192,077,902.13/413,287,953.75 = 413,287,953.75/x
  3. Step 3: Cross multiply
    192,077,902.13x = 413,287,953.75 × 413,287,953.75
  4. Step 4: Simplify right side
    192,077,902.13x = 170,806,932,714,862,144
  5. Step 5: Solve for x
    x = 170,806,932,714,862,144/192,077,902.13
  6. Step 6: Final answer
    x = 889,258,633.22

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.