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Finding the Third Proportional to 149,674,506.75 and 223,901,452.13

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Solution

The third proportional to 149,674,506.75 and 223,901,452.13 is: 334,939,204.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,674,506.75 : 223,901,452.13 = 223,901,452.13 : x
  2. Step 2: Convert to fraction form
    149,674,506.75/223,901,452.13 = 223,901,452.13/x
  3. Step 3: Cross multiply
    149,674,506.75x = 223,901,452.13 × 223,901,452.13
  4. Step 4: Simplify right side
    149,674,506.75x = 50,131,860,263,683,664
  5. Step 5: Solve for x
    x = 50,131,860,263,683,664/149,674,506.75
  6. Step 6: Final answer
    x = 334,939,204.76

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