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Finding the Third Proportional to 50,303,680 and 107,778,536

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Solution

The third proportional to 50,303,680 and 107,778,536 is: 230,921,730.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,303,680 : 107,778,536 = 107,778,536 : x
  2. Step 2: Convert to fraction form
    50,303,680/107,778,536 = 107,778,536/x
  3. Step 3: Cross multiply
    50,303,680x = 107,778,536 × 107,778,536
  4. Step 4: Simplify right side
    50,303,680x = 11,616,212,822,303,296
  5. Step 5: Solve for x
    x = 11,616,212,822,303,296/50,303,680
  6. Step 6: Final answer
    x = 230,921,730.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.