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Finding the Third Proportional to 219,531,498 and 477,325,290

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Solution

The third proportional to 219,531,498 and 477,325,290 is: 1,037,843,929.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,531,498 : 477,325,290 = 477,325,290 : x
  2. Step 2: Convert to fraction form
    219,531,498/477,325,290 = 477,325,290/x
  3. Step 3: Cross multiply
    219,531,498x = 477,325,290 × 477,325,290
  4. Step 4: Simplify right side
    219,531,498x = 227,839,432,473,584,096
  5. Step 5: Solve for x
    x = 227,839,432,473,584,096/219,531,498
  6. Step 6: Final answer
    x = 1,037,843,929.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.