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Finding the Third Proportional to 112,415,108 and 260,224,769

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Solution

The third proportional to 112,415,108 and 260,224,769 is: 602,382,825.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,415,108 : 260,224,769 = 260,224,769 : x
  2. Step 2: Convert to fraction form
    112,415,108/260,224,769 = 260,224,769/x
  3. Step 3: Cross multiply
    112,415,108x = 260,224,769 × 260,224,769
  4. Step 4: Simplify right side
    112,415,108x = 67,716,930,401,103,360
  5. Step 5: Solve for x
    x = 67,716,930,401,103,360/112,415,108
  6. Step 6: Final answer
    x = 602,382,825.63

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.