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Finding the Third Proportional to 110,651,804 and 177,787,294

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Solution

The third proportional to 110,651,804 and 177,787,294 is: 285,655,730.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,651,804 : 177,787,294 = 177,787,294 : x
  2. Step 2: Convert to fraction form
    110,651,804/177,787,294 = 177,787,294/x
  3. Step 3: Cross multiply
    110,651,804x = 177,787,294 × 177,787,294
  4. Step 4: Simplify right side
    110,651,804x = 31,608,321,907,842,436
  5. Step 5: Solve for x
    x = 31,608,321,907,842,436/110,651,804
  6. Step 6: Final answer
    x = 285,655,730.55

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.