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Finding the Third Proportional to 309,422,196 and 464,133,350

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Solution

The third proportional to 309,422,196 and 464,133,350 is: 696,200,109.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,422,196 : 464,133,350 = 464,133,350 : x
  2. Step 2: Convert to fraction form
    309,422,196/464,133,350 = 464,133,350/x
  3. Step 3: Cross multiply
    309,422,196x = 464,133,350 × 464,133,350
  4. Step 4: Simplify right side
    309,422,196x = 215,419,766,582,222,496
  5. Step 5: Solve for x
    x = 215,419,766,582,222,496/309,422,196
  6. Step 6: Final answer
    x = 696,200,109.00

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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.