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Finding the Third Proportional to 98,074,000 and 206,311,718

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Solution

The third proportional to 98,074,000 and 206,311,718 is: 434,004,170.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,074,000 : 206,311,718 = 206,311,718 : x
  2. Step 2: Convert to fraction form
    98,074,000/206,311,718 = 206,311,718/x
  3. Step 3: Cross multiply
    98,074,000x = 206,311,718 × 206,311,718
  4. Step 4: Simplify right side
    98,074,000x = 42,564,524,984,111,520
  5. Step 5: Solve for x
    x = 42,564,524,984,111,520/98,074,000
  6. Step 6: Final answer
    x = 434,004,170.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.