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Finding the Third Proportional to 48,568,122 and 99,087,224

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Solution

The third proportional to 48,568,122 and 99,087,224 is: 202,154,778.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,568,122 : 99,087,224 = 99,087,224 : x
  2. Step 2: Convert to fraction form
    48,568,122/99,087,224 = 99,087,224/x
  3. Step 3: Cross multiply
    48,568,122x = 99,087,224 × 99,087,224
  4. Step 4: Simplify right side
    48,568,122x = 9,818,277,960,026,176
  5. Step 5: Solve for x
    x = 9,818,277,960,026,176/48,568,122
  6. Step 6: Final answer
    x = 202,154,778.81

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.