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Finding the Third Proportional to 145,143,099 and 224,734,918.50

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Solution

The third proportional to 145,143,099 and 224,734,918.50 is: 347,972,338.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,143,099 : 224,734,918.50 = 224,734,918.50 : x
  2. Step 2: Convert to fraction form
    145,143,099/224,734,918.50 = 224,734,918.50/x
  3. Step 3: Cross multiply
    145,143,099x = 224,734,918.50 × 224,734,918.50
  4. Step 4: Simplify right side
    145,143,099x = 50,505,783,593,201,640
  5. Step 5: Solve for x
    x = 50,505,783,593,201,640/145,143,099
  6. Step 6: Final answer
    x = 347,972,338.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.