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Finding the Third Proportional to 148,269,002 and 308,810,140.75

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Solution

The third proportional to 148,269,002 and 308,810,140.75 is: 643,180,312.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,269,002 : 308,810,140.75 = 308,810,140.75 : x
  2. Step 2: Convert to fraction form
    148,269,002/308,810,140.75 = 308,810,140.75/x
  3. Step 3: Cross multiply
    148,269,002x = 308,810,140.75 × 308,810,140.75
  4. Step 4: Simplify right side
    148,269,002x = 95,363,703,030,034,816
  5. Step 5: Solve for x
    x = 95,363,703,030,034,816/148,269,002
  6. Step 6: Final answer
    x = 643,180,312.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.