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Finding the Third Proportional to 65,993,950 and 96,970,135

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Solution

The third proportional to 65,993,950 and 96,970,135 is: 142,485,895.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,993,950 : 96,970,135 = 96,970,135 : x
  2. Step 2: Convert to fraction form
    65,993,950/96,970,135 = 96,970,135/x
  3. Step 3: Cross multiply
    65,993,950x = 96,970,135 × 96,970,135
  4. Step 4: Simplify right side
    65,993,950x = 9,403,207,081,918,224
  5. Step 5: Solve for x
    x = 9,403,207,081,918,224/65,993,950
  6. Step 6: Final answer
    x = 142,485,895.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.