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Finding the Third Proportional to 190,996,806 and 409,221,669

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Solution

The third proportional to 190,996,806 and 409,221,669 is: 876,781,019.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,996,806 : 409,221,669 = 409,221,669 : x
  2. Step 2: Convert to fraction form
    190,996,806/409,221,669 = 409,221,669/x
  3. Step 3: Cross multiply
    190,996,806x = 409,221,669 × 409,221,669
  4. Step 4: Simplify right side
    190,996,806x = 167,462,374,379,145,568
  5. Step 5: Solve for x
    x = 167,462,374,379,145,568/190,996,806
  6. Step 6: Final answer
    x = 876,781,019.99

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