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Finding the Third Proportional to 119,013,144 and 183,905,649

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Solution

The third proportional to 119,013,144 and 183,905,649 is: 284,181,113.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,013,144 : 183,905,649 = 183,905,649 : x
  2. Step 2: Convert to fraction form
    119,013,144/183,905,649 = 183,905,649/x
  3. Step 3: Cross multiply
    119,013,144x = 183,905,649 × 183,905,649
  4. Step 4: Simplify right side
    119,013,144x = 33,821,287,734,111,200
  5. Step 5: Solve for x
    x = 33,821,287,734,111,200/119,013,144
  6. Step 6: Final answer
    x = 284,181,113.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.