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Finding the Third Proportional to 211,973,210 and 319,975,096

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Solution

The third proportional to 211,973,210 and 319,975,096 is: 483,004,725.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,973,210 : 319,975,096 = 319,975,096 : x
  2. Step 2: Convert to fraction form
    211,973,210/319,975,096 = 319,975,096/x
  3. Step 3: Cross multiply
    211,973,210x = 319,975,096 × 319,975,096
  4. Step 4: Simplify right side
    211,973,210x = 102,384,062,060,209,216
  5. Step 5: Solve for x
    x = 102,384,062,060,209,216/211,973,210
  6. Step 6: Final answer
    x = 483,004,725.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.