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Finding the Third Proportional to 191,923,320 and 417,922,800

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Solution

The third proportional to 191,923,320 and 417,922,800 is: 910,048,173.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,923,320 : 417,922,800 = 417,922,800 : x
  2. Step 2: Convert to fraction form
    191,923,320/417,922,800 = 417,922,800/x
  3. Step 3: Cross multiply
    191,923,320x = 417,922,800 × 417,922,800
  4. Step 4: Simplify right side
    191,923,320x = 174,659,466,759,840,000
  5. Step 5: Solve for x
    x = 174,659,466,759,840,000/191,923,320
  6. Step 6: Final answer
    x = 910,048,173.20

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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.