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Finding the Third Proportional to 71,133,330 and 106,699,989

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Solution

The third proportional to 71,133,330 and 106,699,989 is: 160,049,974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,133,330 : 106,699,989 = 106,699,989 : x
  2. Step 2: Convert to fraction form
    71,133,330/106,699,989 = 106,699,989/x
  3. Step 3: Cross multiply
    71,133,330x = 106,699,989 × 106,699,989
  4. Step 4: Simplify right side
    71,133,330x = 11,384,887,652,600,120
  5. Step 5: Solve for x
    x = 11,384,887,652,600,120/71,133,330
  6. Step 6: Final answer
    x = 160,049,974.50

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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.