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Finding the Third Proportional to 241,848,742.50 and 364,777,502.25

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Solution

The third proportional to 241,848,742.50 and 364,777,502.25 is: 550,189,448.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,848,742.50 : 364,777,502.25 = 364,777,502.25 : x
  2. Step 2: Convert to fraction form
    241,848,742.50/364,777,502.25 = 364,777,502.25/x
  3. Step 3: Cross multiply
    241,848,742.50x = 364,777,502.25 × 364,777,502.25
  4. Step 4: Simplify right side
    241,848,742.50x = 133,062,626,147,748,752
  5. Step 5: Solve for x
    x = 133,062,626,147,748,752/241,848,742.50
  6. Step 6: Final answer
    x = 550,189,448.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.