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Finding the Third Proportional to 309,422,176 and 464,133,320

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Solution

The third proportional to 309,422,176 and 464,133,320 is: 696,200,064.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,422,176 : 464,133,320 = 464,133,320 : x
  2. Step 2: Convert to fraction form
    309,422,176/464,133,320 = 464,133,320/x
  3. Step 3: Cross multiply
    309,422,176x = 464,133,320 × 464,133,320
  4. Step 4: Simplify right side
    309,422,176x = 215,419,738,734,222,400
  5. Step 5: Solve for x
    x = 215,419,738,734,222,400/309,422,176
  6. Step 6: Final answer
    x = 696,200,064.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.