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Finding the Third Proportional to 134,117,021 and 293,340,586

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Solution

The third proportional to 134,117,021 and 293,340,586 is: 641,594,174.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,117,021 : 293,340,586 = 293,340,586 : x
  2. Step 2: Convert to fraction form
    134,117,021/293,340,586 = 293,340,586/x
  3. Step 3: Cross multiply
    134,117,021x = 293,340,586 × 293,340,586
  4. Step 4: Simplify right side
    134,117,021x = 86,048,699,394,823,392
  5. Step 5: Solve for x
    x = 86,048,699,394,823,392/134,117,021
  6. Step 6: Final answer
    x = 641,594,174.65

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