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Finding the Third Proportional to 226,077,183.84 and 489,721,412.11

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Solution

The third proportional to 226,077,183.84 and 489,721,412.11 is: 1,060,819,395.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,077,183.84 : 489,721,412.11 = 489,721,412.11 : x
  2. Step 2: Convert to fraction form
    226,077,183.84/489,721,412.11 = 489,721,412.11/x
  3. Step 3: Cross multiply
    226,077,183.84x = 489,721,412.11 × 489,721,412.11
  4. Step 4: Simplify right side
    226,077,183.84x = 239,827,061,478,405,216
  5. Step 5: Solve for x
    x = 239,827,061,478,405,216/226,077,183.84
  6. Step 6: Final answer
    x = 1,060,819,395.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.