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Finding the Third Proportional to 98,073,998 and 206,311,714

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Solution

The third proportional to 98,073,998 and 206,311,714 is: 434,004,162.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,073,998 : 206,311,714 = 206,311,714 : x
  2. Step 2: Convert to fraction form
    98,073,998/206,311,714 = 206,311,714/x
  3. Step 3: Cross multiply
    98,073,998x = 206,311,714 × 206,311,714
  4. Step 4: Simplify right side
    98,073,998x = 42,564,523,333,617,792
  5. Step 5: Solve for x
    x = 42,564,523,333,617,792/98,073,998
  6. Step 6: Final answer
    x = 434,004,162.18

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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.