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Finding the Third Proportional to 106,591,837,505 and 237,016,088,529

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Solution

The third proportional to 106,591,837,505 and 237,016,088,529 is: 527,025,591,607.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,591,837,505 : 237,016,088,529 = 237,016,088,529 : x
  2. Step 2: Convert to fraction form
    106,591,837,505/237,016,088,529 = 237,016,088,529/x
  3. Step 3: Cross multiply
    106,591,837,505x = 237,016,088,529 × 237,016,088,529
  4. Step 4: Simplify right side
    106,591,837,505x = 56,176,626,221,586,764,005,376
  5. Step 5: Solve for x
    x = 56,176,626,221,586,764,005,376/106,591,837,505
  6. Step 6: Final answer
    x = 527,025,591,607.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.