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Finding the Third Proportional to 227,821,140 and 497,041,185

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Solution

The third proportional to 227,821,140 and 497,041,185 is: 1,084,403,052.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,821,140 : 497,041,185 = 497,041,185 : x
  2. Step 2: Convert to fraction form
    227,821,140/497,041,185 = 497,041,185/x
  3. Step 3: Cross multiply
    227,821,140x = 497,041,185 × 497,041,185
  4. Step 4: Simplify right side
    227,821,140x = 247,049,939,586,204,224
  5. Step 5: Solve for x
    x = 247,049,939,586,204,224/227,821,140
  6. Step 6: Final answer
    x = 1,084,403,052.26

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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.