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Finding the Third Proportional to 112,833,801 and 245,698,944.75

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Solution

The third proportional to 112,833,801 and 245,698,944.75 is: 535,016,731.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,833,801 : 245,698,944.75 = 245,698,944.75 : x
  2. Step 2: Convert to fraction form
    112,833,801/245,698,944.75 = 245,698,944.75/x
  3. Step 3: Cross multiply
    112,833,801x = 245,698,944.75 × 245,698,944.75
  4. Step 4: Simplify right side
    112,833,801x = 60,367,971,451,263,552
  5. Step 5: Solve for x
    x = 60,367,971,451,263,552/112,833,801
  6. Step 6: Final answer
    x = 535,016,731.83

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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.