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Finding the Third Proportional to 48,893,491 and 103,616,226

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Solution

The third proportional to 48,893,491 and 103,616,226 is: 219,585,921.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,893,491 : 103,616,226 = 103,616,226 : x
  2. Step 2: Convert to fraction form
    48,893,491/103,616,226 = 103,616,226/x
  3. Step 3: Cross multiply
    48,893,491x = 103,616,226 × 103,616,226
  4. Step 4: Simplify right side
    48,893,491x = 10,736,322,290,483,076
  5. Step 5: Solve for x
    x = 10,736,322,290,483,076/48,893,491
  6. Step 6: Final answer
    x = 219,585,921.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.