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Finding the Third Proportional to 73,852,182 and 160,708,266

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Solution

The third proportional to 73,852,182 and 160,708,266 is: 349,714,064.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,852,182 : 160,708,266 = 160,708,266 : x
  2. Step 2: Convert to fraction form
    73,852,182/160,708,266 = 160,708,266/x
  3. Step 3: Cross multiply
    73,852,182x = 160,708,266 × 160,708,266
  4. Step 4: Simplify right side
    73,852,182x = 25,827,146,760,726,756
  5. Step 5: Solve for x
    x = 25,827,146,760,726,756/73,852,182
  6. Step 6: Final answer
    x = 349,714,064.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.