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Finding the Third Proportional to 149,674,446 and 223,901,361

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Solution

The third proportional to 149,674,446 and 223,901,361 is: 334,939,068.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,674,446 : 223,901,361 = 223,901,361 : x
  2. Step 2: Convert to fraction form
    149,674,446/223,901,361 = 223,901,361/x
  3. Step 3: Cross multiply
    149,674,446x = 223,901,361 × 223,901,361
  4. Step 4: Simplify right side
    149,674,446x = 50,131,819,457,652,320
  5. Step 5: Solve for x
    x = 50,131,819,457,652,320/149,674,446
  6. Step 6: Final answer
    x = 334,939,068.07

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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.