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Finding the Third Proportional to 208,268,163 and 433,774,557

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Solution

The third proportional to 208,268,163 and 433,774,557 is: 903,452,374.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,268,163 : 433,774,557 = 433,774,557 : x
  2. Step 2: Convert to fraction form
    208,268,163/433,774,557 = 433,774,557/x
  3. Step 3: Cross multiply
    208,268,163x = 433,774,557 × 433,774,557
  4. Step 4: Simplify right side
    208,268,163x = 188,160,366,300,546,240
  5. Step 5: Solve for x
    x = 188,160,366,300,546,240/208,268,163
  6. Step 6: Final answer
    x = 903,452,374.05

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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.