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Finding the Third Proportional to 96,844,664 and 208,988,368

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Solution

The third proportional to 96,844,664 and 208,988,368 is: 450,991,682.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,844,664 : 208,988,368 = 208,988,368 : x
  2. Step 2: Convert to fraction form
    96,844,664/208,988,368 = 208,988,368/x
  3. Step 3: Cross multiply
    96,844,664x = 208,988,368 × 208,988,368
  4. Step 4: Simplify right side
    96,844,664x = 43,676,137,959,303,424
  5. Step 5: Solve for x
    x = 43,676,137,959,303,424/96,844,664
  6. Step 6: Final answer
    x = 450,991,682.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.