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Finding the Third Proportional to 120,048,525 and 258,297,264

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Solution

The third proportional to 120,048,525 and 258,297,264 is: 555,754,238.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,048,525 : 258,297,264 = 258,297,264 : x
  2. Step 2: Convert to fraction form
    120,048,525/258,297,264 = 258,297,264/x
  3. Step 3: Cross multiply
    120,048,525x = 258,297,264 × 258,297,264
  4. Step 4: Simplify right side
    120,048,525x = 66,717,476,589,885,696
  5. Step 5: Solve for x
    x = 66,717,476,589,885,696/120,048,525
  6. Step 6: Final answer
    x = 555,754,238.46

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Why These Related Problems?

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