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Finding the Third Proportional to 180,305,130 and 269,396,291.25

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Solution

The third proportional to 180,305,130 and 269,396,291.25 is: 402,508,579.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,305,130 : 269,396,291.25 = 269,396,291.25 : x
  2. Step 2: Convert to fraction form
    180,305,130/269,396,291.25 = 269,396,291.25/x
  3. Step 3: Cross multiply
    180,305,130x = 269,396,291.25 × 269,396,291.25
  4. Step 4: Simplify right side
    180,305,130x = 72,574,361,739,254,832
  5. Step 5: Solve for x
    x = 72,574,361,739,254,832/180,305,130
  6. Step 6: Final answer
    x = 402,508,579.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.