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Finding the Third Proportional to 239,284,488.23 and 519,407,100.84

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Solution

The third proportional to 239,284,488.23 and 519,407,100.84 is: 1,127,460,197.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,284,488.23 : 519,407,100.84 = 519,407,100.84 : x
  2. Step 2: Convert to fraction form
    239,284,488.23/519,407,100.84 = 519,407,100.84/x
  3. Step 3: Cross multiply
    239,284,488.23x = 519,407,100.84 × 519,407,100.84
  4. Step 4: Simplify right side
    239,284,488.23x = 269,783,736,406,919,872
  5. Step 5: Solve for x
    x = 269,783,736,406,919,872/239,284,488.23
  6. Step 6: Final answer
    x = 1,127,460,197.68

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