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Finding the Third Proportional to 107,468,864 and 233,183,868.50

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Solution

The third proportional to 107,468,864 and 233,183,868.50 is: 505,957,860.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,468,864 : 233,183,868.50 = 233,183,868.50 : x
  2. Step 2: Convert to fraction form
    107,468,864/233,183,868.50 = 233,183,868.50/x
  3. Step 3: Cross multiply
    107,468,864x = 233,183,868.50 × 233,183,868.50
  4. Step 4: Simplify right side
    107,468,864x = 54,374,716,528,625,296
  5. Step 5: Solve for x
    x = 54,374,716,528,625,296/107,468,864
  6. Step 6: Final answer
    x = 505,957,860.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.