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Finding the Third Proportional to 102,635,365 and 223,339,725

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Solution

The third proportional to 102,635,365 and 223,339,725 is: 485,998,493.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,635,365 : 223,339,725 = 223,339,725 : x
  2. Step 2: Convert to fraction form
    102,635,365/223,339,725 = 223,339,725/x
  3. Step 3: Cross multiply
    102,635,365x = 223,339,725 × 223,339,725
  4. Step 4: Simplify right side
    102,635,365x = 49,880,632,763,075,624
  5. Step 5: Solve for x
    x = 49,880,632,763,075,624/102,635,365
  6. Step 6: Final answer
    x = 485,998,493.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.