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Finding the Third Proportional to 201,250,176 and 300,672,117

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Solution

The third proportional to 201,250,176 and 300,672,117 is: 449,210,647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,250,176 : 300,672,117 = 300,672,117 : x
  2. Step 2: Convert to fraction form
    201,250,176/300,672,117 = 300,672,117/x
  3. Step 3: Cross multiply
    201,250,176x = 300,672,117 × 300,672,117
  4. Step 4: Simplify right side
    201,250,176x = 90,403,721,941,261,696
  5. Step 5: Solve for x
    x = 90,403,721,941,261,696/201,250,176
  6. Step 6: Final answer
    x = 449,210,647.85

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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.