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Finding the Third Proportional to 180,185,496 and 393,399,066

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Solution

The third proportional to 180,185,496 and 393,399,066 is: 858,908,339.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,185,496 : 393,399,066 = 393,399,066 : x
  2. Step 2: Convert to fraction form
    180,185,496/393,399,066 = 393,399,066/x
  3. Step 3: Cross multiply
    180,185,496x = 393,399,066 × 393,399,066
  4. Step 4: Simplify right side
    180,185,496x = 154,762,825,129,672,352
  5. Step 5: Solve for x
    x = 154,762,825,129,672,352/180,185,496
  6. Step 6: Final answer
    x = 858,908,339.27

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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.