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Finding the Third Proportional to 204,540,216 and 439,437,928

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Solution

The third proportional to 204,540,216 and 439,437,928 is: 944,096,453.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,540,216 : 439,437,928 = 439,437,928 : x
  2. Step 2: Convert to fraction form
    204,540,216/439,437,928 = 439,437,928/x
  3. Step 3: Cross multiply
    204,540,216x = 439,437,928 × 439,437,928
  4. Step 4: Simplify right side
    204,540,216x = 193,105,692,564,933,184
  5. Step 5: Solve for x
    x = 193,105,692,564,933,184/204,540,216
  6. Step 6: Final answer
    x = 944,096,453.70

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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.