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Finding the Third Proportional to 86,006,208 and 185,694,336

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Solution

The third proportional to 86,006,208 and 185,694,336 is: 400,929,040.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,006,208 : 185,694,336 = 185,694,336 : x
  2. Step 2: Convert to fraction form
    86,006,208/185,694,336 = 185,694,336/x
  3. Step 3: Cross multiply
    86,006,208x = 185,694,336 × 185,694,336
  4. Step 4: Simplify right side
    86,006,208x = 34,482,386,422,480,896
  5. Step 5: Solve for x
    x = 34,482,386,422,480,896/86,006,208
  6. Step 6: Final answer
    x = 400,929,040.17

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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.