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Finding the Third Proportional to 112,829,152 and 244,438,976

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Solution

The third proportional to 112,829,152 and 244,438,976 is: 529,565,382.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,829,152 : 244,438,976 = 244,438,976 : x
  2. Step 2: Convert to fraction form
    112,829,152/244,438,976 = 244,438,976/x
  3. Step 3: Cross multiply
    112,829,152x = 244,438,976 × 244,438,976
  4. Step 4: Simplify right side
    112,829,152x = 59,750,412,987,928,576
  5. Step 5: Solve for x
    x = 59,750,412,987,928,576/112,829,152
  6. Step 6: Final answer
    x = 529,565,382.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.