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Finding the Third Proportional to 125,847,089,224.50 and 269,644,661,025

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Solution

The third proportional to 125,847,089,224.50 and 269,644,661,025 is: 577,750,694,651.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,847,089,224.50 : 269,644,661,025 = 269,644,661,025 : x
  2. Step 2: Convert to fraction form
    125,847,089,224.50/269,644,661,025 = 269,644,661,025/x
  3. Step 3: Cross multiply
    125,847,089,224.50x = 269,644,661,025 × 269,644,661,025
  4. Step 4: Simplify right side
    125,847,089,224.50x = 72,708,243,219,287,155,671,040
  5. Step 5: Solve for x
    x = 72,708,243,219,287,155,671,040/125,847,089,224.50
  6. Step 6: Final answer
    x = 577,750,694,651.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.