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Finding the Third Proportional to 113,876,195,168 and 244,890,366,145

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Solution

The third proportional to 113,876,195,168 and 244,890,366,145 is: 526,635,890,338.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,876,195,168 : 244,890,366,145 = 244,890,366,145 : x
  2. Step 2: Convert to fraction form
    113,876,195,168/244,890,366,145 = 244,890,366,145/x
  3. Step 3: Cross multiply
    113,876,195,168x = 244,890,366,145 × 244,890,366,145
  4. Step 4: Simplify right side
    113,876,195,168x = 59,971,291,430,632,164,425,728
  5. Step 5: Solve for x
    x = 59,971,291,430,632,164,425,728/113,876,195,168
  6. Step 6: Final answer
    x = 526,635,890,338.25

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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.