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Finding the Third Proportional to 69,729,914 and 152,015,140

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Solution

The third proportional to 69,729,914 and 152,015,140 is: 331,401,567.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,729,914 : 152,015,140 = 152,015,140 : x
  2. Step 2: Convert to fraction form
    69,729,914/152,015,140 = 152,015,140/x
  3. Step 3: Cross multiply
    69,729,914x = 152,015,140 × 152,015,140
  4. Step 4: Simplify right side
    69,729,914x = 23,108,602,789,219,600
  5. Step 5: Solve for x
    x = 23,108,602,789,219,600/69,729,914
  6. Step 6: Final answer
    x = 331,401,567.33

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.