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Finding the Third Proportional to 200,352,384 and 302,105,234

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Solution

The third proportional to 200,352,384 and 302,105,234 is: 455,535,245.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,352,384 : 302,105,234 = 302,105,234 : x
  2. Step 2: Convert to fraction form
    200,352,384/302,105,234 = 302,105,234/x
  3. Step 3: Cross multiply
    200,352,384x = 302,105,234 × 302,105,234
  4. Step 4: Simplify right side
    200,352,384x = 91,267,572,410,194,752
  5. Step 5: Solve for x
    x = 91,267,572,410,194,752/200,352,384
  6. Step 6: Final answer
    x = 455,535,245.39

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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.