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Finding the Third Proportional to 50,258,645.50 and 109,416,841.50

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Solution

The third proportional to 50,258,645.50 and 109,416,841.50 is: 238,208,672.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,258,645.50 : 109,416,841.50 = 109,416,841.50 : x
  2. Step 2: Convert to fraction form
    50,258,645.50/109,416,841.50 = 109,416,841.50/x
  3. Step 3: Cross multiply
    50,258,645.50x = 109,416,841.50 × 109,416,841.50
  4. Step 4: Simplify right side
    50,258,645.50x = 11,972,045,203,836,122
  5. Step 5: Solve for x
    x = 11,972,045,203,836,122/50,258,645.50
  6. Step 6: Final answer
    x = 238,208,672.05

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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.