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Finding the Third Proportional to 55,627,980 and 120,832,252.50

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Solution

The third proportional to 55,627,980 and 120,832,252.50 is: 262,465,637.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,627,980 : 120,832,252.50 = 120,832,252.50 : x
  2. Step 2: Convert to fraction form
    55,627,980/120,832,252.50 = 120,832,252.50/x
  3. Step 3: Cross multiply
    55,627,980x = 120,832,252.50 × 120,832,252.50
  4. Step 4: Simplify right side
    55,627,980x = 14,600,433,244,223,756
  5. Step 5: Solve for x
    x = 14,600,433,244,223,756/55,627,980
  6. Step 6: Final answer
    x = 262,465,637.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.