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Finding the Third Proportional to 49,039,234.50 and 105,879,552

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Solution

The third proportional to 49,039,234.50 and 105,879,552 is: 228,602,253.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,039,234.50 : 105,879,552 = 105,879,552 : x
  2. Step 2: Convert to fraction form
    49,039,234.50/105,879,552 = 105,879,552/x
  3. Step 3: Cross multiply
    49,039,234.50x = 105,879,552 × 105,879,552
  4. Step 4: Simplify right side
    49,039,234.50x = 11,210,479,531,720,704
  5. Step 5: Solve for x
    x = 11,210,479,531,720,704/49,039,234.50
  6. Step 6: Final answer
    x = 228,602,253.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.