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Finding the Third Proportional to 139,258,466,540 and 209,035,094,930

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Solution

The third proportional to 139,258,466,540 and 209,035,094,930 is: 313,773,891,082.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,258,466,540 : 209,035,094,930 = 209,035,094,930 : x
  2. Step 2: Convert to fraction form
    139,258,466,540/209,035,094,930 = 209,035,094,930/x
  3. Step 3: Cross multiply
    139,258,466,540x = 209,035,094,930 × 209,035,094,930
  4. Step 4: Simplify right side
    139,258,466,540x = 43,695,670,912,394,115,153,920
  5. Step 5: Solve for x
    x = 43,695,670,912,394,115,153,920/139,258,466,540
  6. Step 6: Final answer
    x = 313,773,891,082.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.