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Finding the Third Proportional to 221,863,239 and 473,405,975

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Solution

The third proportional to 221,863,239 and 473,405,975 is: 1,010,141,284.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,863,239 : 473,405,975 = 473,405,975 : x
  2. Step 2: Convert to fraction form
    221,863,239/473,405,975 = 473,405,975/x
  3. Step 3: Cross multiply
    221,863,239x = 473,405,975 × 473,405,975
  4. Step 4: Simplify right side
    221,863,239x = 224,113,217,165,700,640
  5. Step 5: Solve for x
    x = 224,113,217,165,700,640/221,863,239
  6. Step 6: Final answer
    x = 1,010,141,284.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.