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Finding the Third Proportional to 65,928,238 and 96,919,135

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Solution

The third proportional to 65,928,238 and 96,919,135 is: 142,477,927.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,928,238 : 96,919,135 = 96,919,135 : x
  2. Step 2: Convert to fraction form
    65,928,238/96,919,135 = 96,919,135/x
  3. Step 3: Cross multiply
    65,928,238x = 96,919,135 × 96,919,135
  4. Step 4: Simplify right side
    65,928,238x = 9,393,318,729,148,224
  5. Step 5: Solve for x
    x = 9,393,318,729,148,224/65,928,238
  6. Step 6: Final answer
    x = 142,477,927.73

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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.