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Finding the Third Proportional to 192,255,243 and 413,175,270

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Solution

The third proportional to 192,255,243 and 413,175,270 is: 887,953,956.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,255,243 : 413,175,270 = 413,175,270 : x
  2. Step 2: Convert to fraction form
    192,255,243/413,175,270 = 413,175,270/x
  3. Step 3: Cross multiply
    192,255,243x = 413,175,270 × 413,175,270
  4. Step 4: Simplify right side
    192,255,243x = 170,713,803,739,572,896
  5. Step 5: Solve for x
    x = 170,713,803,739,572,896/192,255,243
  6. Step 6: Final answer
    x = 887,953,956.81

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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.