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Finding the Third Proportional to 189,814,560 and 295,819,348

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Solution

The third proportional to 189,814,560 and 295,819,348 is: 461,024,099.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,814,560 : 295,819,348 = 295,819,348 : x
  2. Step 2: Convert to fraction form
    189,814,560/295,819,348 = 295,819,348/x
  3. Step 3: Cross multiply
    189,814,560x = 295,819,348 × 295,819,348
  4. Step 4: Simplify right side
    189,814,560x = 87,509,086,651,145,104
  5. Step 5: Solve for x
    x = 87,509,086,651,145,104/189,814,560
  6. Step 6: Final answer
    x = 461,024,099.79

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.