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Finding the Third Proportional to 208,268,260 and 433,774,736

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Solution

The third proportional to 208,268,260 and 433,774,736 is: 903,452,698.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,268,260 : 433,774,736 = 433,774,736 : x
  2. Step 2: Convert to fraction form
    208,268,260/433,774,736 = 433,774,736/x
  3. Step 3: Cross multiply
    208,268,260x = 433,774,736 × 433,774,736
  4. Step 4: Simplify right side
    208,268,260x = 188,160,521,591,869,696
  5. Step 5: Solve for x
    x = 188,160,521,591,869,696/208,268,260
  6. Step 6: Final answer
    x = 903,452,698.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.