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Finding the Third Proportional to 227,821,142 and 497,041,189

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Solution

The third proportional to 227,821,142 and 497,041,189 is: 1,084,403,060.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,821,142 : 497,041,189 = 497,041,189 : x
  2. Step 2: Convert to fraction form
    227,821,142/497,041,189 = 497,041,189/x
  3. Step 3: Cross multiply
    227,821,142x = 497,041,189 × 497,041,189
  4. Step 4: Simplify right side
    227,821,142x = 247,049,943,562,533,728
  5. Step 5: Solve for x
    x = 247,049,943,562,533,728/227,821,142
  6. Step 6: Final answer
    x = 1,084,403,060.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.