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Finding the Third Proportional to 102,394,664 and 223,912,594

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Solution

The third proportional to 102,394,664 and 223,912,594 is: 489,643,188.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,394,664 : 223,912,594 = 223,912,594 : x
  2. Step 2: Convert to fraction form
    102,394,664/223,912,594 = 223,912,594/x
  3. Step 3: Cross multiply
    102,394,664x = 223,912,594 × 223,912,594
  4. Step 4: Simplify right side
    102,394,664x = 50,136,849,751,808,832
  5. Step 5: Solve for x
    x = 50,136,849,751,808,832/102,394,664
  6. Step 6: Final answer
    x = 489,643,188.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.