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Finding the Third Proportional to 233,784,852.75 and 508,261,189.50

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Solution

The third proportional to 233,784,852.75 and 508,261,189.50 is: 1,104,987,913.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,784,852.75 : 508,261,189.50 = 508,261,189.50 : x
  2. Step 2: Convert to fraction form
    233,784,852.75/508,261,189.50 = 508,261,189.50/x
  3. Step 3: Cross multiply
    233,784,852.75x = 508,261,189.50 × 508,261,189.50
  4. Step 4: Simplify right side
    233,784,852.75x = 258,329,436,751,954,912
  5. Step 5: Solve for x
    x = 258,329,436,751,954,912/233,784,852.75
  6. Step 6: Final answer
    x = 1,104,987,913.94

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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.