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Finding the Third Proportional to 195,393,216 and 302,271,984

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Solution

The third proportional to 195,393,216 and 302,271,984 is: 467,612,715.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,393,216 : 302,271,984 = 302,271,984 : x
  2. Step 2: Convert to fraction form
    195,393,216/302,271,984 = 302,271,984/x
  3. Step 3: Cross multiply
    195,393,216x = 302,271,984 × 302,271,984
  4. Step 4: Simplify right side
    195,393,216x = 91,368,352,311,296,256
  5. Step 5: Solve for x
    x = 91,368,352,311,296,256/195,393,216
  6. Step 6: Final answer
    x = 467,612,715.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.