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Finding the Third Proportional to 180,185,478 and 393,399,031.50

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Solution

The third proportional to 180,185,478 and 393,399,031.50 is: 858,908,274.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,185,478 : 393,399,031.50 = 393,399,031.50 : x
  2. Step 2: Convert to fraction form
    180,185,478/393,399,031.50 = 393,399,031.50/x
  3. Step 3: Cross multiply
    180,185,478x = 393,399,031.50 × 393,399,031.50
  4. Step 4: Simplify right side
    180,185,478x = 154,762,797,985,137,984
  5. Step 5: Solve for x
    x = 154,762,797,985,137,984/180,185,478
  6. Step 6: Final answer
    x = 858,908,274.42

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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.