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Finding the Third Proportional to 149,881,486 and 224,821,486

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Solution

The third proportional to 149,881,486 and 224,821,486 is: 337,231,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,881,486 : 224,821,486 = 224,821,486 : x
  2. Step 2: Convert to fraction form
    149,881,486/224,821,486 = 224,821,486/x
  3. Step 3: Cross multiply
    149,881,486x = 224,821,486 × 224,821,486
  4. Step 4: Simplify right side
    149,881,486x = 50,544,700,567,248,192
  5. Step 5: Solve for x
    x = 50,544,700,567,248,192/149,881,486
  6. Step 6: Final answer
    x = 337,231,114.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.