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Finding the Third Proportional to 109,089,359 and 235,483,764

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Solution

The third proportional to 109,089,359 and 235,483,764 is: 508,322,751.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,089,359 : 235,483,764 = 235,483,764 : x
  2. Step 2: Convert to fraction form
    109,089,359/235,483,764 = 235,483,764/x
  3. Step 3: Cross multiply
    109,089,359x = 235,483,764 × 235,483,764
  4. Step 4: Simplify right side
    109,089,359x = 55,452,603,107,607,696
  5. Step 5: Solve for x
    x = 55,452,603,107,607,696/109,089,359
  6. Step 6: Final answer
    x = 508,322,751.33

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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.