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Finding the Third Proportional to 184,750,275 and 258,291,759

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Solution

The third proportional to 184,750,275 and 258,291,759 is: 361,107,082.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,750,275 : 258,291,759 = 258,291,759 : x
  2. Step 2: Convert to fraction form
    184,750,275/258,291,759 = 258,291,759/x
  3. Step 3: Cross multiply
    184,750,275x = 258,291,759 × 258,291,759
  4. Step 4: Simplify right side
    184,750,275x = 66,714,632,767,314,080
  5. Step 5: Solve for x
    x = 66,714,632,767,314,080/184,750,275
  6. Step 6: Final answer
    x = 361,107,082.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.