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Finding the Third Proportional to 166,754,745 and 362,215,374.75

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Solution

The third proportional to 166,754,745 and 362,215,374.75 is: 786,784,074.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,754,745 : 362,215,374.75 = 362,215,374.75 : x
  2. Step 2: Convert to fraction form
    166,754,745/362,215,374.75 = 362,215,374.75/x
  3. Step 3: Cross multiply
    166,754,745x = 362,215,374.75 × 362,215,374.75
  4. Step 4: Simplify right side
    166,754,745x = 131,199,977,705,282,944
  5. Step 5: Solve for x
    x = 131,199,977,705,282,944/166,754,745
  6. Step 6: Final answer
    x = 786,784,074.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.