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Finding the Third Proportional to 53,260,096 and 114,747,696

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Solution

The third proportional to 53,260,096 and 114,747,696 is: 247,221,366.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,260,096 : 114,747,696 = 114,747,696 : x
  2. Step 2: Convert to fraction form
    53,260,096/114,747,696 = 114,747,696/x
  3. Step 3: Cross multiply
    53,260,096x = 114,747,696 × 114,747,696
  4. Step 4: Simplify right side
    53,260,096x = 13,167,033,737,308,416
  5. Step 5: Solve for x
    x = 13,167,033,737,308,416/53,260,096
  6. Step 6: Final answer
    x = 247,221,366.96

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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.