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Finding the Third Proportional to 150,089,468,621 and 228,650,923,514

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Solution

The third proportional to 150,089,468,621 and 228,650,923,514 is: 348,333,865,821.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,089,468,621 : 228,650,923,514 = 228,650,923,514 : x
  2. Step 2: Convert to fraction form
    150,089,468,621/228,650,923,514 = 228,650,923,514/x
  3. Step 3: Cross multiply
    150,089,468,621x = 228,650,923,514 × 228,650,923,514
  4. Step 4: Simplify right side
    150,089,468,621x = 52,281,244,823,805,078,011,904
  5. Step 5: Solve for x
    x = 52,281,244,823,805,078,011,904/150,089,468,621
  6. Step 6: Final answer
    x = 348,333,865,821.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.