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Finding the Third Proportional to 227,519,730 and 343,670,661

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Solution

The third proportional to 227,519,730 and 343,670,661 is: 519,117,718.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,519,730 : 343,670,661 = 343,670,661 : x
  2. Step 2: Convert to fraction form
    227,519,730/343,670,661 = 343,670,661/x
  3. Step 3: Cross multiply
    227,519,730x = 343,670,661 × 343,670,661
  4. Step 4: Simplify right side
    227,519,730x = 118,109,523,232,176,928
  5. Step 5: Solve for x
    x = 118,109,523,232,176,928/227,519,730
  6. Step 6: Final answer
    x = 519,117,718.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.