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Finding the Third Proportional to 229,699,542 and 353,064,105

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Solution

The third proportional to 229,699,542 and 353,064,105 is: 542,683,982.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,699,542 : 353,064,105 = 353,064,105 : x
  2. Step 2: Convert to fraction form
    229,699,542/353,064,105 = 353,064,105/x
  3. Step 3: Cross multiply
    229,699,542x = 353,064,105 × 353,064,105
  4. Step 4: Simplify right side
    229,699,542x = 124,654,262,239,451,024
  5. Step 5: Solve for x
    x = 124,654,262,239,451,024/229,699,542
  6. Step 6: Final answer
    x = 542,683,982.54

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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.