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Finding the Third Proportional to 189,080,352 and 411,289,536

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Solution

The third proportional to 189,080,352 and 411,289,536 is: 894,641,249.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,080,352 : 411,289,536 = 411,289,536 : x
  2. Step 2: Convert to fraction form
    189,080,352/411,289,536 = 411,289,536/x
  3. Step 3: Cross multiply
    189,080,352x = 411,289,536 × 411,289,536
  4. Step 4: Simplify right side
    189,080,352x = 169,159,082,423,095,296
  5. Step 5: Solve for x
    x = 169,159,082,423,095,296/189,080,352
  6. Step 6: Final answer
    x = 894,641,249.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.