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Finding the Third Proportional to 114,809,814 and 177,291,064

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Solution

The third proportional to 114,809,814 and 177,291,064 is: 273,775,562.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,809,814 : 177,291,064 = 177,291,064 : x
  2. Step 2: Convert to fraction form
    114,809,814/177,291,064 = 177,291,064/x
  3. Step 3: Cross multiply
    114,809,814x = 177,291,064 × 177,291,064
  4. Step 4: Simplify right side
    114,809,814x = 31,432,121,374,252,096
  5. Step 5: Solve for x
    x = 31,432,121,374,252,096/114,809,814
  6. Step 6: Final answer
    x = 273,775,562.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.