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Finding the Third Proportional to 49,565,101.50 and 107,367,660

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Solution

The third proportional to 49,565,101.50 and 107,367,660 is: 232,579,255.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,565,101.50 : 107,367,660 = 107,367,660 : x
  2. Step 2: Convert to fraction form
    49,565,101.50/107,367,660 = 107,367,660/x
  3. Step 3: Cross multiply
    49,565,101.50x = 107,367,660 × 107,367,660
  4. Step 4: Simplify right side
    49,565,101.50x = 11,527,814,413,875,600
  5. Step 5: Solve for x
    x = 11,527,814,413,875,600/49,565,101.50
  6. Step 6: Final answer
    x = 232,579,255.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.