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Finding the Third Proportional to 219,531,432 and 477,325,155

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Solution

The third proportional to 219,531,432 and 477,325,155 is: 1,037,843,654.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,531,432 : 477,325,155 = 477,325,155 : x
  2. Step 2: Convert to fraction form
    219,531,432/477,325,155 = 477,325,155/x
  3. Step 3: Cross multiply
    219,531,432x = 477,325,155 × 477,325,155
  4. Step 4: Simplify right side
    219,531,432x = 227,839,303,595,774,016
  5. Step 5: Solve for x
    x = 227,839,303,595,774,016/219,531,432
  6. Step 6: Final answer
    x = 1,037,843,654.19

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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.