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Finding the Third Proportional to 50,313,216 and 106,427,480

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Solution

The third proportional to 50,313,216 and 106,427,480 is: 225,125,909.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,313,216 : 106,427,480 = 106,427,480 : x
  2. Step 2: Convert to fraction form
    50,313,216/106,427,480 = 106,427,480/x
  3. Step 3: Cross multiply
    50,313,216x = 106,427,480 × 106,427,480
  4. Step 4: Simplify right side
    50,313,216x = 11,326,808,499,150,400
  5. Step 5: Solve for x
    x = 11,326,808,499,150,400/50,313,216
  6. Step 6: Final answer
    x = 225,125,909.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.