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Finding the Third Proportional to 140,380,813.13 and 302,957,286.75

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Solution

The third proportional to 140,380,813.13 and 302,957,286.75 is: 653,815,258.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,380,813.13 : 302,957,286.75 = 302,957,286.75 : x
  2. Step 2: Convert to fraction form
    140,380,813.13/302,957,286.75 = 302,957,286.75/x
  3. Step 3: Cross multiply
    140,380,813.13x = 302,957,286.75 × 302,957,286.75
  4. Step 4: Simplify right side
    140,380,813.13x = 91,783,117,594,921,728
  5. Step 5: Solve for x
    x = 91,783,117,594,921,728/140,380,813.13
  6. Step 6: Final answer
    x = 653,815,258.31

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