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Finding the Third Proportional to 69,853,473 and 146,945,187

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Solution

The third proportional to 69,853,473 and 146,945,187 is: 309,116,885.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,853,473 : 146,945,187 = 146,945,187 : x
  2. Step 2: Convert to fraction form
    69,853,473/146,945,187 = 146,945,187/x
  3. Step 3: Cross multiply
    69,853,473x = 146,945,187 × 146,945,187
  4. Step 4: Simplify right side
    69,853,473x = 21,592,887,982,464,968
  5. Step 5: Solve for x
    x = 21,592,887,982,464,968/69,853,473
  6. Step 6: Final answer
    x = 309,116,885.03

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.