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Finding the Third Proportional to 174,922,140 and 382,694,760

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Solution

The third proportional to 174,922,140 and 382,694,760 is: 837,259,819.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,922,140 : 382,694,760 = 382,694,760 : x
  2. Step 2: Convert to fraction form
    174,922,140/382,694,760 = 382,694,760/x
  3. Step 3: Cross multiply
    174,922,140x = 382,694,760 × 382,694,760
  4. Step 4: Simplify right side
    174,922,140x = 146,455,279,331,457,600
  5. Step 5: Solve for x
    x = 146,455,279,331,457,600/174,922,140
  6. Step 6: Final answer
    x = 837,259,819.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.