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Finding the Third Proportional to 189,080,004 and 411,288,684

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Solution

The third proportional to 189,080,004 and 411,288,684 is: 894,639,189.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,080,004 : 411,288,684 = 411,288,684 : x
  2. Step 2: Convert to fraction form
    189,080,004/411,288,684 = 411,288,684/x
  3. Step 3: Cross multiply
    189,080,004x = 411,288,684 × 411,288,684
  4. Step 4: Simplify right side
    189,080,004x = 169,158,381,586,451,840
  5. Step 5: Solve for x
    x = 169,158,381,586,451,840/189,080,004
  6. Step 6: Final answer
    x = 894,639,189.80

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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.