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Finding the Third Proportional to 112,139,025 and 163,951,176

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Solution

The third proportional to 112,139,025 and 163,951,176 is: 239,702,352.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,139,025 : 163,951,176 = 163,951,176 : x
  2. Step 2: Convert to fraction form
    112,139,025/163,951,176 = 163,951,176/x
  3. Step 3: Cross multiply
    112,139,025x = 163,951,176 × 163,951,176
  4. Step 4: Simplify right side
    112,139,025x = 26,879,988,111,782,976
  5. Step 5: Solve for x
    x = 26,879,988,111,782,976/112,139,025
  6. Step 6: Final answer
    x = 239,702,352.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.