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Finding the Third Proportional to 53,978,725,050.50 and 118,753,006,309.50

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Solution

The third proportional to 53,978,725,050.50 and 118,753,006,309.50 is: 261,256,198,518.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,978,725,050.50 : 118,753,006,309.50 = 118,753,006,309.50 : x
  2. Step 2: Convert to fraction form
    53,978,725,050.50/118,753,006,309.50 = 118,753,006,309.50/x
  3. Step 3: Cross multiply
    53,978,725,050.50x = 118,753,006,309.50 × 118,753,006,309.50
  4. Step 4: Simplify right side
    53,978,725,050.50x = 14,102,276,507,544,145,887,232
  5. Step 5: Solve for x
    x = 14,102,276,507,544,145,887,232/53,978,725,050.50
  6. Step 6: Final answer
    x = 261,256,198,518.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.