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Finding the Third Proportional to 189,784,838 and 414,368,788

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Solution

The third proportional to 189,784,838 and 414,368,788 is: 904,716,595.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,784,838 : 414,368,788 = 414,368,788 : x
  2. Step 2: Convert to fraction form
    189,784,838/414,368,788 = 414,368,788/x
  3. Step 3: Cross multiply
    189,784,838x = 414,368,788 × 414,368,788
  4. Step 4: Simplify right side
    189,784,838x = 171,701,492,468,588,928
  5. Step 5: Solve for x
    x = 171,701,492,468,588,928/189,784,838
  6. Step 6: Final answer
    x = 904,716,595.27

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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.