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Finding the Third Proportional to 48,046,956 and 103,652,184

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Solution

The third proportional to 48,046,956 and 103,652,184 is: 223,609,904.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,046,956 : 103,652,184 = 103,652,184 : x
  2. Step 2: Convert to fraction form
    48,046,956/103,652,184 = 103,652,184/x
  3. Step 3: Cross multiply
    48,046,956x = 103,652,184 × 103,652,184
  4. Step 4: Simplify right side
    48,046,956x = 10,743,775,247,969,856
  5. Step 5: Solve for x
    x = 10,743,775,247,969,856/48,046,956
  6. Step 6: Final answer
    x = 223,609,904.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.