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Finding the Third Proportional to 289,982,964 and 439,186,158

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Solution

The third proportional to 289,982,964 and 439,186,158 is: 665,157,975.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,982,964 : 439,186,158 = 439,186,158 : x
  2. Step 2: Convert to fraction form
    289,982,964/439,186,158 = 439,186,158/x
  3. Step 3: Cross multiply
    289,982,964x = 439,186,158 × 439,186,158
  4. Step 4: Simplify right side
    289,982,964x = 192,884,481,378,800,960
  5. Step 5: Solve for x
    x = 192,884,481,378,800,960/289,982,964
  6. Step 6: Final answer
    x = 665,157,975.90

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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.