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Finding the Third Proportional to 174,452,355 and 380,592,126

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Solution

The third proportional to 174,452,355 and 380,592,126 is: 830,314,766.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,452,355 : 380,592,126 = 380,592,126 : x
  2. Step 2: Convert to fraction form
    174,452,355/380,592,126 = 380,592,126/x
  3. Step 3: Cross multiply
    174,452,355x = 380,592,126 × 380,592,126
  4. Step 4: Simplify right side
    174,452,355x = 144,850,366,373,199,872
  5. Step 5: Solve for x
    x = 144,850,366,373,199,872/174,452,355
  6. Step 6: Final answer
    x = 830,314,766.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.