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Finding the Third Proportional to 149,674,509 and 223,901,455

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Solution

The third proportional to 149,674,509 and 223,901,455 is: 334,939,208.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,674,509 : 223,901,455 = 223,901,455 : x
  2. Step 2: Convert to fraction form
    149,674,509/223,901,455 = 223,901,455/x
  3. Step 3: Cross multiply
    149,674,509x = 223,901,455 × 223,901,455
  4. Step 4: Simplify right side
    149,674,509x = 50,131,861,551,117,024
  5. Step 5: Solve for x
    x = 50,131,861,551,117,024/149,674,509
  6. Step 6: Final answer
    x = 334,939,208.33

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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.