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Finding the Third Proportional to 90,810,264 and 201,775,920

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Solution

The third proportional to 90,810,264 and 201,775,920 is: 448,336,125.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,810,264 : 201,775,920 = 201,775,920 : x
  2. Step 2: Convert to fraction form
    90,810,264/201,775,920 = 201,775,920/x
  3. Step 3: Cross multiply
    90,810,264x = 201,775,920 × 201,775,920
  4. Step 4: Simplify right side
    90,810,264x = 40,713,521,891,846,400
  5. Step 5: Solve for x
    x = 40,713,521,891,846,400/90,810,264
  6. Step 6: Final answer
    x = 448,336,125.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.