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Finding the Third Proportional to 300,169,808 and 448,487,616

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Solution

The third proportional to 300,169,808 and 448,487,616 is: 670,091,182.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,169,808 : 448,487,616 = 448,487,616 : x
  2. Step 2: Convert to fraction form
    300,169,808/448,487,616 = 448,487,616/x
  3. Step 3: Cross multiply
    300,169,808x = 448,487,616 × 448,487,616
  4. Step 4: Simplify right side
    300,169,808x = 201,141,141,705,363,456
  5. Step 5: Solve for x
    x = 201,141,141,705,363,456/300,169,808
  6. Step 6: Final answer
    x = 670,091,182.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.