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Finding the Third Proportional to 303,246,216 and 433,345,857.75

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Solution

The third proportional to 303,246,216 and 433,345,857.75 is: 619,261,255.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,246,216 : 433,345,857.75 = 433,345,857.75 : x
  2. Step 2: Convert to fraction form
    303,246,216/433,345,857.75 = 433,345,857.75/x
  3. Step 3: Cross multiply
    303,246,216x = 433,345,857.75 × 433,345,857.75
  4. Step 4: Simplify right side
    303,246,216x = 187,788,632,429,083,232
  5. Step 5: Solve for x
    x = 187,788,632,429,083,232/303,246,216
  6. Step 6: Final answer
    x = 619,261,255.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.