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Finding the Third Proportional to 145,367,231 and 318,979,260

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Solution

The third proportional to 145,367,231 and 318,979,260 is: 699,936,069.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,367,231 : 318,979,260 = 318,979,260 : x
  2. Step 2: Convert to fraction form
    145,367,231/318,979,260 = 318,979,260/x
  3. Step 3: Cross multiply
    145,367,231x = 318,979,260 × 318,979,260
  4. Step 4: Simplify right side
    145,367,231x = 101,747,768,310,147,600
  5. Step 5: Solve for x
    x = 101,747,768,310,147,600/145,367,231
  6. Step 6: Final answer
    x = 699,936,069.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.