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Finding the Third Proportional to 208,268,168 and 433,774,566

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Solution

The third proportional to 208,268,168 and 433,774,566 is: 903,452,389.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,268,168 : 433,774,566 = 433,774,566 : x
  2. Step 2: Convert to fraction form
    208,268,168/433,774,566 = 433,774,566/x
  3. Step 3: Cross multiply
    208,268,168x = 433,774,566 × 433,774,566
  4. Step 4: Simplify right side
    208,268,168x = 188,160,374,108,488,352
  5. Step 5: Solve for x
    x = 188,160,374,108,488,352/208,268,168
  6. Step 6: Final answer
    x = 903,452,389.85

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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.