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Finding the Third Proportional to 48,117,206 and 112,277,357

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Solution

The third proportional to 48,117,206 and 112,277,357 is: 261,989,544.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,117,206 : 112,277,357 = 112,277,357 : x
  2. Step 2: Convert to fraction form
    48,117,206/112,277,357 = 112,277,357/x
  3. Step 3: Cross multiply
    48,117,206x = 112,277,357 × 112,277,357
  4. Step 4: Simplify right side
    48,117,206x = 12,606,204,894,905,448
  5. Step 5: Solve for x
    x = 12,606,204,894,905,448/48,117,206
  6. Step 6: Final answer
    x = 261,989,544.76

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.