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Finding the Third Proportional to 69,969,933 and 144,411,174

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Solution

The third proportional to 69,969,933 and 144,411,174 is: 298,050,695.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,969,933 : 144,411,174 = 144,411,174 : x
  2. Step 2: Convert to fraction form
    69,969,933/144,411,174 = 144,411,174/x
  3. Step 3: Cross multiply
    69,969,933x = 144,411,174 × 144,411,174
  4. Step 4: Simplify right side
    69,969,933x = 20,854,587,176,058,276
  5. Step 5: Solve for x
    x = 20,854,587,176,058,276/69,969,933
  6. Step 6: Final answer
    x = 298,050,695.23

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.