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Finding the Third Proportional to 189,080,360 and 411,289,552

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Solution

The third proportional to 189,080,360 and 411,289,552 is: 894,641,281.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,080,360 : 411,289,552 = 411,289,552 : x
  2. Step 2: Convert to fraction form
    189,080,360/411,289,552 = 411,289,552/x
  3. Step 3: Cross multiply
    189,080,360x = 411,289,552 × 411,289,552
  4. Step 4: Simplify right side
    189,080,360x = 169,159,095,584,360,704
  5. Step 5: Solve for x
    x = 169,159,095,584,360,704/189,080,360
  6. Step 6: Final answer
    x = 894,641,281.54

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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.