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Finding the Third Proportional to 117,775,328 and 257,385,664

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Solution

The third proportional to 117,775,328 and 257,385,664 is: 562,489,454.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,775,328 : 257,385,664 = 257,385,664 : x
  2. Step 2: Convert to fraction form
    117,775,328/257,385,664 = 257,385,664/x
  3. Step 3: Cross multiply
    117,775,328x = 257,385,664 × 257,385,664
  4. Step 4: Simplify right side
    117,775,328x = 66,247,380,032,720,896
  5. Step 5: Solve for x
    x = 66,247,380,032,720,896/117,775,328
  6. Step 6: Final answer
    x = 562,489,454.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.