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Finding the Third Proportional to 154,167,376,545 and 235,682,186,571

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Solution

The third proportional to 154,167,376,545 and 235,682,186,571 is: 360,297,323,024.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,167,376,545 : 235,682,186,571 = 235,682,186,571 : x
  2. Step 2: Convert to fraction form
    154,167,376,545/235,682,186,571 = 235,682,186,571/x
  3. Step 3: Cross multiply
    154,167,376,545x = 235,682,186,571 × 235,682,186,571
  4. Step 4: Simplify right side
    154,167,376,545x = 55,546,093,066,887,651,917,824
  5. Step 5: Solve for x
    x = 55,546,093,066,887,651,917,824/154,167,376,545
  6. Step 6: Final answer
    x = 360,297,323,024.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.