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Finding the Third Proportional to 35,211,444.75 and 75,268,699.88

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Solution

The third proportional to 35,211,444.75 and 75,268,699.88 is: 160,895,902.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,211,444.75 : 75,268,699.88 = 75,268,699.88 : x
  2. Step 2: Convert to fraction form
    35,211,444.75/75,268,699.88 = 75,268,699.88/x
  3. Step 3: Cross multiply
    35,211,444.75x = 75,268,699.88 × 75,268,699.88
  4. Step 4: Simplify right side
    35,211,444.75x = 5,665,377,180,872,825
  5. Step 5: Solve for x
    x = 5,665,377,180,872,825/35,211,444.75
  6. Step 6: Final answer
    x = 160,895,902.49

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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.