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Finding the Third Proportional to 140,835,120 and 302,494,836

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Solution

The third proportional to 140,835,120 and 302,494,836 is: 649,718,094.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,835,120 : 302,494,836 = 302,494,836 : x
  2. Step 2: Convert to fraction form
    140,835,120/302,494,836 = 302,494,836/x
  3. Step 3: Cross multiply
    140,835,120x = 302,494,836 × 302,494,836
  4. Step 4: Simplify right side
    140,835,120x = 91,503,125,806,666,896
  5. Step 5: Solve for x
    x = 91,503,125,806,666,896/140,835,120
  6. Step 6: Final answer
    x = 649,718,094.51

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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.