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Finding the Third Proportional to 49,074,589 and 103,225,933

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Solution

The third proportional to 49,074,589 and 103,225,933 is: 217,130,565.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,074,589 : 103,225,933 = 103,225,933 : x
  2. Step 2: Convert to fraction form
    49,074,589/103,225,933 = 103,225,933/x
  3. Step 3: Cross multiply
    49,074,589x = 103,225,933 × 103,225,933
  4. Step 4: Simplify right side
    49,074,589x = 10,655,593,243,720,488
  5. Step 5: Solve for x
    x = 10,655,593,243,720,488/49,074,589
  6. Step 6: Final answer
    x = 217,130,565.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.