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Finding the Third Proportional to 109,089,349.50 and 235,483,746

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Solution

The third proportional to 109,089,349.50 and 235,483,746 is: 508,322,717.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,089,349.50 : 235,483,746 = 235,483,746 : x
  2. Step 2: Convert to fraction form
    109,089,349.50/235,483,746 = 235,483,746/x
  3. Step 3: Cross multiply
    109,089,349.50x = 235,483,746 × 235,483,746
  4. Step 4: Simplify right side
    109,089,349.50x = 55,452,594,630,192,512
  5. Step 5: Solve for x
    x = 55,452,594,630,192,512/109,089,349.50
  6. Step 6: Final answer
    x = 508,322,717.89

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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.