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Finding the Third Proportional to 192,166,079,221.12 and 413,252,492,598

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Solution

The third proportional to 192,166,079,221.12 and 413,252,492,598 is: 888,698,064,354.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,166,079,221.12 : 413,252,492,598 = 413,252,492,598 : x
  2. Step 2: Convert to fraction form
    192,166,079,221.12/413,252,492,598 = 413,252,492,598/x
  3. Step 3: Cross multiply
    192,166,079,221.12x = 413,252,492,598 × 413,252,492,598
  4. Step 4: Simplify right side
    192,166,079,221.12x = 170,777,622,638,460,057,681,920
  5. Step 5: Solve for x
    x = 170,777,622,638,460,057,681,920/192,166,079,221.12
  6. Step 6: Final answer
    x = 888,698,064,354.80

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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.