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Finding the Third Proportional to 178,888,104 and 386,498,565

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Solution

The third proportional to 178,888,104 and 386,498,565 is: 835,053,518.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,888,104 : 386,498,565 = 386,498,565 : x
  2. Step 2: Convert to fraction form
    178,888,104/386,498,565 = 386,498,565/x
  3. Step 3: Cross multiply
    178,888,104x = 386,498,565 × 386,498,565
  4. Step 4: Simplify right side
    178,888,104x = 149,381,140,747,059,232
  5. Step 5: Solve for x
    x = 149,381,140,747,059,232/178,888,104
  6. Step 6: Final answer
    x = 835,053,518.97

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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.