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Finding the Third Proportional to 201,309,514,121.25 and 312,571,398,327.75

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Solution

The third proportional to 201,309,514,121.25 and 312,571,398,327.75 is: 485,326,684,528.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,309,514,121.25 : 312,571,398,327.75 = 312,571,398,327.75 : x
  2. Step 2: Convert to fraction form
    201,309,514,121.25/312,571,398,327.75 = 312,571,398,327.75/x
  3. Step 3: Cross multiply
    201,309,514,121.25x = 312,571,398,327.75 × 312,571,398,327.75
  4. Step 4: Simplify right side
    201,309,514,121.25x = 97,700,879,052,564,953,300,992
  5. Step 5: Solve for x
    x = 97,700,879,052,564,953,300,992/201,309,514,121.25
  6. Step 6: Final answer
    x = 485,326,684,528.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.