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Finding the Third Proportional to 112,180,922 and 172,323,627

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Solution

The third proportional to 112,180,922 and 172,323,627 is: 264,710,183.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,180,922 : 172,323,627 = 172,323,627 : x
  2. Step 2: Convert to fraction form
    112,180,922/172,323,627 = 172,323,627/x
  3. Step 3: Cross multiply
    112,180,922x = 172,323,627 × 172,323,627
  4. Step 4: Simplify right side
    112,180,922x = 29,695,432,422,435,128
  5. Step 5: Solve for x
    x = 29,695,432,422,435,128/112,180,922
  6. Step 6: Final answer
    x = 264,710,183.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.