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Finding the Third Proportional to 165,817,398 and 354,928,194

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Solution

The third proportional to 165,817,398 and 354,928,194 is: 759,715,352.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,817,398 : 354,928,194 = 354,928,194 : x
  2. Step 2: Convert to fraction form
    165,817,398/354,928,194 = 354,928,194/x
  3. Step 3: Cross multiply
    165,817,398x = 354,928,194 × 354,928,194
  4. Step 4: Simplify right side
    165,817,398x = 125,974,022,896,101,632
  5. Step 5: Solve for x
    x = 125,974,022,896,101,632/165,817,398
  6. Step 6: Final answer
    x = 759,715,352.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.