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Finding the Third Proportional to 140,835,084.75 and 302,494,749.75

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Solution

The third proportional to 140,835,084.75 and 302,494,749.75 is: 649,717,886.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,835,084.75 : 302,494,749.75 = 302,494,749.75 : x
  2. Step 2: Convert to fraction form
    140,835,084.75/302,494,749.75 = 302,494,749.75/x
  3. Step 3: Cross multiply
    140,835,084.75x = 302,494,749.75 × 302,494,749.75
  4. Step 4: Simplify right side
    140,835,084.75x = 91,503,073,626,315,120
  5. Step 5: Solve for x
    x = 91,503,073,626,315,120/140,835,084.75
  6. Step 6: Final answer
    x = 649,717,886.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.