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Finding the Third Proportional to 98,701,376 and 213,876,256

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Solution

The third proportional to 98,701,376 and 213,876,256 is: 463,448,988.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,701,376 : 213,876,256 = 213,876,256 : x
  2. Step 2: Convert to fraction form
    98,701,376/213,876,256 = 213,876,256/x
  3. Step 3: Cross multiply
    98,701,376x = 213,876,256 × 213,876,256
  4. Step 4: Simplify right side
    98,701,376x = 45,743,052,880,577,536
  5. Step 5: Solve for x
    x = 45,743,052,880,577,536/98,701,376
  6. Step 6: Final answer
    x = 463,448,988.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.