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Finding the Third Proportional to 54,641,254.50 and 83,080,742.25

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Solution

The third proportional to 54,641,254.50 and 83,080,742.25 is: 126,322,314.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,641,254.50 : 83,080,742.25 = 83,080,742.25 : x
  2. Step 2: Convert to fraction form
    54,641,254.50/83,080,742.25 = 83,080,742.25/x
  3. Step 3: Cross multiply
    54,641,254.50x = 83,080,742.25 × 83,080,742.25
  4. Step 4: Simplify right side
    54,641,254.50x = 6,902,409,732,810,935
  5. Step 5: Solve for x
    x = 6,902,409,732,810,935/54,641,254.50
  6. Step 6: Final answer
    x = 126,322,314.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.