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Finding the Third Proportional to 69,036,185 and 107,191,838.25

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Solution

The third proportional to 69,036,185 and 107,191,838.25 is: 166,435,763.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,036,185 : 107,191,838.25 = 107,191,838.25 : x
  2. Step 2: Convert to fraction form
    69,036,185/107,191,838.25 = 107,191,838.25/x
  3. Step 3: Cross multiply
    69,036,185x = 107,191,838.25 × 107,191,838.25
  4. Step 4: Simplify right side
    69,036,185x = 11,490,090,187,414,164
  5. Step 5: Solve for x
    x = 11,490,090,187,414,164/69,036,185
  6. Step 6: Final answer
    x = 166,435,763.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.