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Finding the Third Proportional to 50,922,931.50 and 104,199,061.50

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Solution

The third proportional to 50,922,931.50 and 104,199,061.50 is: 213,213,263.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,922,931.50 : 104,199,061.50 = 104,199,061.50 : x
  2. Step 2: Convert to fraction form
    50,922,931.50/104,199,061.50 = 104,199,061.50/x
  3. Step 3: Cross multiply
    50,922,931.50x = 104,199,061.50 × 104,199,061.50
  4. Step 4: Simplify right side
    50,922,931.50x = 10,857,444,417,480,782
  5. Step 5: Solve for x
    x = 10,857,444,417,480,782/50,922,931.50
  6. Step 6: Final answer
    x = 213,213,263.61

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.