Home / 211,478,171.06-323,295,638.34

Finding the Third Proportional to 211,478,171.06 and 323,295,638.34

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Solution

The third proportional to 211,478,171.06 and 323,295,638.34 is: 494,235,737.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,478,171.06 : 323,295,638.34 = 323,295,638.34 : x
  2. Step 2: Convert to fraction form
    211,478,171.06/323,295,638.34 = 323,295,638.34/x
  3. Step 3: Cross multiply
    211,478,171.06x = 323,295,638.34 × 323,295,638.34
  4. Step 4: Simplify right side
    211,478,171.06x = 104,520,069,772,092,800
  5. Step 5: Solve for x
    x = 104,520,069,772,092,800/211,478,171.06
  6. Step 6: Final answer
    x = 494,235,737.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.