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Finding the Third Proportional to 134,189,884 and 293,503,964

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Solution

The third proportional to 134,189,884 and 293,503,964 is: 641,960,290.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,189,884 : 293,503,964 = 293,503,964 : x
  2. Step 2: Convert to fraction form
    134,189,884/293,503,964 = 293,503,964/x
  3. Step 3: Cross multiply
    134,189,884x = 293,503,964 × 293,503,964
  4. Step 4: Simplify right side
    134,189,884x = 86,144,576,883,713,296
  5. Step 5: Solve for x
    x = 86,144,576,883,713,296/134,189,884
  6. Step 6: Final answer
    x = 641,960,290.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.