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Finding the Third Proportional to 49,430.04 and 102,366.49

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Solution

The third proportional to 49,430.04 and 102,366.49 is: 211,994.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,430.04 : 102,366.49 = 102,366.49 : x
  2. Step 2: Convert to fraction form
    49,430.04/102,366.49 = 102,366.49/x
  3. Step 3: Cross multiply
    49,430.04x = 102,366.49 × 102,366.49
  4. Step 4: Simplify right side
    49,430.04x = 10,478,898,722.77
  5. Step 5: Solve for x
    x = 10,478,898,722.77/49,430.04
  6. Step 6: Final answer
    x = 211,994.55

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.