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Finding the Third Proportional to 116,566,314.05 and 255,033,758.67

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Solution

The third proportional to 116,566,314.05 and 255,033,758.67 is: 557,984,685.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,566,314.05 : 255,033,758.67 = 255,033,758.67 : x
  2. Step 2: Convert to fraction form
    116,566,314.05/255,033,758.67 = 255,033,758.67/x
  3. Step 3: Cross multiply
    116,566,314.05x = 255,033,758.67 × 255,033,758.67
  4. Step 4: Simplify right side
    116,566,314.05x = 65,042,218,062,306,728
  5. Step 5: Solve for x
    x = 65,042,218,062,306,728/116,566,314.05
  6. Step 6: Final answer
    x = 557,984,685.32

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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.