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Finding the Third Proportional to 54,609,140 and 117,322,534

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Solution

The third proportional to 54,609,140 and 117,322,534 is: 252,056,285.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,609,140 : 117,322,534 = 117,322,534 : x
  2. Step 2: Convert to fraction form
    54,609,140/117,322,534 = 117,322,534/x
  3. Step 3: Cross multiply
    54,609,140x = 117,322,534 × 117,322,534
  4. Step 4: Simplify right side
    54,609,140x = 13,764,576,984,181,156
  5. Step 5: Solve for x
    x = 13,764,576,984,181,156/54,609,140
  6. Step 6: Final answer
    x = 252,056,285.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.