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Finding the Third Proportional to 208,268,104.50 and 433,774,438.50

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Solution

The third proportional to 208,268,104.50 and 433,774,438.50 is: 903,452,134.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,268,104.50 : 433,774,438.50 = 433,774,438.50 : x
  2. Step 2: Convert to fraction form
    208,268,104.50/433,774,438.50 = 433,774,438.50/x
  3. Step 3: Cross multiply
    208,268,104.50x = 433,774,438.50 × 433,774,438.50
  4. Step 4: Simplify right side
    208,268,104.50x = 188,160,263,495,990,272
  5. Step 5: Solve for x
    x = 188,160,263,495,990,272/208,268,104.50
  6. Step 6: Final answer
    x = 903,452,134.20

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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.