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Finding the Third Proportional to 52,928,197 and 113,966,032

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Solution

The third proportional to 52,928,197 and 113,966,032 is: 245,393,895.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,928,197 : 113,966,032 = 113,966,032 : x
  2. Step 2: Convert to fraction form
    52,928,197/113,966,032 = 113,966,032/x
  3. Step 3: Cross multiply
    52,928,197x = 113,966,032 × 113,966,032
  4. Step 4: Simplify right side
    52,928,197x = 12,988,256,449,825,024
  5. Step 5: Solve for x
    x = 12,988,256,449,825,024/52,928,197
  6. Step 6: Final answer
    x = 245,393,895.62

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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.