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Finding the Third Proportional to 75,899,564 and 166,425,784

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Solution

The third proportional to 75,899,564 and 166,425,784 is: 364,923,592.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,899,564 : 166,425,784 = 166,425,784 : x
  2. Step 2: Convert to fraction form
    75,899,564/166,425,784 = 166,425,784/x
  3. Step 3: Cross multiply
    75,899,564x = 166,425,784 × 166,425,784
  4. Step 4: Simplify right side
    75,899,564x = 27,697,541,580,014,656
  5. Step 5: Solve for x
    x = 27,697,541,580,014,656/75,899,564
  6. Step 6: Final answer
    x = 364,923,592.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.