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Finding the Third Proportional to 139,258,466,542 and 209,035,094,933

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Solution

The third proportional to 139,258,466,542 and 209,035,094,933 is: 313,773,891,086.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,258,466,542 : 209,035,094,933 = 209,035,094,933 : x
  2. Step 2: Convert to fraction form
    139,258,466,542/209,035,094,933 = 209,035,094,933/x
  3. Step 3: Cross multiply
    139,258,466,542x = 209,035,094,933 × 209,035,094,933
  4. Step 4: Simplify right side
    139,258,466,542x = 43,695,670,913,648,321,101,824
  5. Step 5: Solve for x
    x = 43,695,670,913,648,321,101,824/139,258,466,542
  6. Step 6: Final answer
    x = 313,773,891,086.69

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