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Finding the Third Proportional to 50,303,798 and 107,778,770

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Solution

The third proportional to 50,303,798 and 107,778,770 is: 230,922,191.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,303,798 : 107,778,770 = 107,778,770 : x
  2. Step 2: Convert to fraction form
    50,303,798/107,778,770 = 107,778,770/x
  3. Step 3: Cross multiply
    50,303,798x = 107,778,770 × 107,778,770
  4. Step 4: Simplify right side
    50,303,798x = 11,616,263,262,712,900
  5. Step 5: Solve for x
    x = 11,616,263,262,712,900/50,303,798
  6. Step 6: Final answer
    x = 230,922,191.26

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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.