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Finding the Third Proportional to 183,828,870 and 396,708,297.75

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Solution

The third proportional to 183,828,870 and 396,708,297.75 is: 856,108,583.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,828,870 : 396,708,297.75 = 396,708,297.75 : x
  2. Step 2: Convert to fraction form
    183,828,870/396,708,297.75 = 396,708,297.75/x
  3. Step 3: Cross multiply
    183,828,870x = 396,708,297.75 × 396,708,297.75
  4. Step 4: Simplify right side
    183,828,870x = 157,377,473,503,702,656
  5. Step 5: Solve for x
    x = 157,377,473,503,702,656/183,828,870
  6. Step 6: Final answer
    x = 856,108,583.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.