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Finding the Third Proportional to 48,915,380 and 106,620,313.50

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Solution

The third proportional to 48,915,380 and 106,620,313.50 is: 232,399,119.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,915,380 : 106,620,313.50 = 106,620,313.50 : x
  2. Step 2: Convert to fraction form
    48,915,380/106,620,313.50 = 106,620,313.50/x
  3. Step 3: Cross multiply
    48,915,380x = 106,620,313.50 × 106,620,313.50
  4. Step 4: Simplify right side
    48,915,380x = 11,367,891,250,838,282
  5. Step 5: Solve for x
    x = 11,367,891,250,838,282/48,915,380
  6. Step 6: Final answer
    x = 232,399,119.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.