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Finding the Third Proportional to 52,928,199 and 113,966,036

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Solution

The third proportional to 52,928,199 and 113,966,036 is: 245,393,903.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,928,199 : 113,966,036 = 113,966,036 : x
  2. Step 2: Convert to fraction form
    52,928,199/113,966,036 = 113,966,036/x
  3. Step 3: Cross multiply
    52,928,199x = 113,966,036 × 113,966,036
  4. Step 4: Simplify right side
    52,928,199x = 12,988,257,361,553,296
  5. Step 5: Solve for x
    x = 12,988,257,361,553,296/52,928,199
  6. Step 6: Final answer
    x = 245,393,903.57

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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.