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Finding the Third Proportional to 117,775,300 and 257,385,608

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Solution

The third proportional to 117,775,300 and 257,385,608 is: 562,489,343.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,775,300 : 257,385,608 = 257,385,608 : x
  2. Step 2: Convert to fraction form
    117,775,300/257,385,608 = 257,385,608/x
  3. Step 3: Cross multiply
    117,775,300x = 257,385,608 × 257,385,608
  4. Step 4: Simplify right side
    117,775,300x = 66,247,351,205,529,664
  5. Step 5: Solve for x
    x = 66,247,351,205,529,664/117,775,300
  6. Step 6: Final answer
    x = 562,489,343.74

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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.