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Finding the Third Proportional to 54,845,189,266.50 and 111,232,500,364

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Solution

The third proportional to 54,845,189,266.50 and 111,232,500,364 is: 225,592,605,344.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,845,189,266.50 : 111,232,500,364 = 111,232,500,364 : x
  2. Step 2: Convert to fraction form
    54,845,189,266.50/111,232,500,364 = 111,232,500,364/x
  3. Step 3: Cross multiply
    54,845,189,266.50x = 111,232,500,364 × 111,232,500,364
  4. Step 4: Simplify right side
    54,845,189,266.50x = 12,372,669,137,227,259,838,464
  5. Step 5: Solve for x
    x = 12,372,669,137,227,259,838,464/54,845,189,266.50
  6. Step 6: Final answer
    x = 225,592,605,344.23

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.