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Finding the Third Proportional to 69,036,187 and 107,191,841

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Solution

The third proportional to 69,036,187 and 107,191,841 is: 166,435,767.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,036,187 : 107,191,841 = 107,191,841 : x
  2. Step 2: Convert to fraction form
    69,036,187/107,191,841 = 107,191,841/x
  3. Step 3: Cross multiply
    69,036,187x = 107,191,841 × 107,191,841
  4. Step 4: Simplify right side
    69,036,187x = 11,490,090,776,969,280
  5. Step 5: Solve for x
    x = 11,490,090,776,969,280/69,036,187
  6. Step 6: Final answer
    x = 166,435,767.62

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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.