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Finding the Third Proportional to 251,258,415.75 and 552,112,372.13

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Solution

The third proportional to 251,258,415.75 and 552,112,372.13 is: 1,213,205,418.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,258,415.75 : 552,112,372.13 = 552,112,372.13 : x
  2. Step 2: Convert to fraction form
    251,258,415.75/552,112,372.13 = 552,112,372.13/x
  3. Step 3: Cross multiply
    251,258,415.75x = 552,112,372.13 × 552,112,372.13
  4. Step 4: Simplify right side
    251,258,415.75x = 304,828,071,453,494,464
  5. Step 5: Solve for x
    x = 304,828,071,453,494,464/251,258,415.75
  6. Step 6: Final answer
    x = 1,213,205,418.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.