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Finding the Third Proportional to 229,698,003 and 353,062,408.50

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Solution

The third proportional to 229,698,003 and 353,062,408.50 is: 542,682,403.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,698,003 : 353,062,408.50 = 353,062,408.50 : x
  2. Step 2: Convert to fraction form
    229,698,003/353,062,408.50 = 353,062,408.50/x
  3. Step 3: Cross multiply
    229,698,003x = 353,062,408.50 × 353,062,408.50
  4. Step 4: Simplify right side
    229,698,003x = 124,653,064,295,820,880
  5. Step 5: Solve for x
    x = 124,653,064,295,820,880/229,698,003
  6. Step 6: Final answer
    x = 542,682,403.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.