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Finding the Third Proportional to 53,858,246.25 and 85,296,314.25

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Solution

The third proportional to 53,858,246.25 and 85,296,314.25 is: 135,085,371.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,858,246.25 : 85,296,314.25 = 85,296,314.25 : x
  2. Step 2: Convert to fraction form
    53,858,246.25/85,296,314.25 = 85,296,314.25/x
  3. Step 3: Cross multiply
    53,858,246.25x = 85,296,314.25 × 85,296,314.25
  4. Step 4: Simplify right side
    53,858,246.25x = 7,275,461,224,634,753
  5. Step 5: Solve for x
    x = 7,275,461,224,634,753/53,858,246.25
  6. Step 6: Final answer
    x = 135,085,371.90

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.