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Finding the Third Proportional to 77,494,090.50 and 167,315,816.25

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Solution

The third proportional to 77,494,090.50 and 167,315,816.25 is: 361,247,963.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,494,090.50 : 167,315,816.25 = 167,315,816.25 : x
  2. Step 2: Convert to fraction form
    77,494,090.50/167,315,816.25 = 167,315,816.25/x
  3. Step 3: Cross multiply
    77,494,090.50x = 167,315,816.25 × 167,315,816.25
  4. Step 4: Simplify right side
    77,494,090.50x = 27,994,582,367,403,764
  5. Step 5: Solve for x
    x = 27,994,582,367,403,764/77,494,090.50
  6. Step 6: Final answer
    x = 361,247,963.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.