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Finding the Third Proportional to 309,422,178 and 464,133,323

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Solution

The third proportional to 309,422,178 and 464,133,323 is: 696,200,068.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,422,178 : 464,133,323 = 464,133,323 : x
  2. Step 2: Convert to fraction form
    309,422,178/464,133,323 = 464,133,323/x
  3. Step 3: Cross multiply
    309,422,178x = 464,133,323 × 464,133,323
  4. Step 4: Simplify right side
    309,422,178x = 215,419,741,519,022,336
  5. Step 5: Solve for x
    x = 215,419,741,519,022,336/309,422,178
  6. Step 6: Final answer
    x = 696,200,068.50

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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.