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Finding the Third Proportional to 300,020,196 and 450,829,098

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Solution

The third proportional to 300,020,196 and 450,829,098 is: 677,443,979.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,020,196 : 450,829,098 = 450,829,098 : x
  2. Step 2: Convert to fraction form
    300,020,196/450,829,098 = 450,829,098/x
  3. Step 3: Cross multiply
    300,020,196x = 450,829,098 × 450,829,098
  4. Step 4: Simplify right side
    300,020,196x = 203,246,875,603,493,600
  5. Step 5: Solve for x
    x = 203,246,875,603,493,600/300,020,196
  6. Step 6: Final answer
    x = 677,443,979.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.