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Finding the Third Proportional to 294,674,088 and 491,093,882.25

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Solution

The third proportional to 294,674,088 and 491,093,882.25 is: 818,440,477.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,674,088 : 491,093,882.25 = 491,093,882.25 : x
  2. Step 2: Convert to fraction form
    294,674,088/491,093,882.25 = 491,093,882.25/x
  3. Step 3: Cross multiply
    294,674,088x = 491,093,882.25 × 491,093,882.25
  4. Step 4: Simplify right side
    294,674,088x = 241,173,201,183,376,864
  5. Step 5: Solve for x
    x = 241,173,201,183,376,864/294,674,088
  6. Step 6: Final answer
    x = 818,440,477.14

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.