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Finding the Third Proportional to 207,190,251 and 310,709,294

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Solution

The third proportional to 207,190,251 and 310,709,294 is: 465,949,845.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,190,251 : 310,709,294 = 310,709,294 : x
  2. Step 2: Convert to fraction form
    207,190,251/310,709,294 = 310,709,294/x
  3. Step 3: Cross multiply
    207,190,251x = 310,709,294 × 310,709,294
  4. Step 4: Simplify right side
    207,190,251x = 96,540,265,377,978,432
  5. Step 5: Solve for x
    x = 96,540,265,377,978,432/207,190,251
  6. Step 6: Final answer
    x = 465,949,845.19

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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.