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Finding the Third Proportional to 228,230,784 and 485,975,130

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Solution

The third proportional to 228,230,784 and 485,975,130 is: 1,034,793,917.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,230,784 : 485,975,130 = 485,975,130 : x
  2. Step 2: Convert to fraction form
    228,230,784/485,975,130 = 485,975,130/x
  3. Step 3: Cross multiply
    228,230,784x = 485,975,130 × 485,975,130
  4. Step 4: Simplify right side
    228,230,784x = 236,171,826,978,516,896
  5. Step 5: Solve for x
    x = 236,171,826,978,516,896/228,230,784
  6. Step 6: Final answer
    x = 1,034,793,917.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.