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Finding the Third Proportional to 50,303,681 and 107,778,538

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Solution

The third proportional to 50,303,681 and 107,778,538 is: 230,921,734.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,303,681 : 107,778,538 = 107,778,538 : x
  2. Step 2: Convert to fraction form
    50,303,681/107,778,538 = 107,778,538/x
  3. Step 3: Cross multiply
    50,303,681x = 107,778,538 × 107,778,538
  4. Step 4: Simplify right side
    50,303,681x = 11,616,213,253,417,444
  5. Step 5: Solve for x
    x = 11,616,213,253,417,444/50,303,681
  6. Step 6: Final answer
    x = 230,921,734.21

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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.