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Finding the Third Proportional to 48,915,381 and 106,620,316

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Solution

The third proportional to 48,915,381 and 106,620,316 is: 232,399,125.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,915,381 : 106,620,316 = 106,620,316 : x
  2. Step 2: Convert to fraction form
    48,915,381/106,620,316 = 106,620,316/x
  3. Step 3: Cross multiply
    48,915,381x = 106,620,316 × 106,620,316
  4. Step 4: Simplify right side
    48,915,381x = 11,367,891,783,939,856
  5. Step 5: Solve for x
    x = 11,367,891,783,939,856/48,915,381
  6. Step 6: Final answer
    x = 232,399,125.83

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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.