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Finding the Third Proportional to 53,578,098 and 113,594,192.44

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Solution

The third proportional to 53,578,098 and 113,594,192.44 is: 240,837,973.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,578,098 : 113,594,192.44 = 113,594,192.44 : x
  2. Step 2: Convert to fraction form
    53,578,098/113,594,192.44 = 113,594,192.44/x
  3. Step 3: Cross multiply
    53,578,098x = 113,594,192.44 × 113,594,192.44
  4. Step 4: Simplify right side
    53,578,098x = 12,903,640,555,527,782
  5. Step 5: Solve for x
    x = 12,903,640,555,527,782/53,578,098
  6. Step 6: Final answer
    x = 240,837,973.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.