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Finding the Third Proportional to 231,465,414 and 352,624,584

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Solution

The third proportional to 231,465,414 and 352,624,584 is: 537,203,788.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,465,414 : 352,624,584 = 352,624,584 : x
  2. Step 2: Convert to fraction form
    231,465,414/352,624,584 = 352,624,584/x
  3. Step 3: Cross multiply
    231,465,414x = 352,624,584 × 352,624,584
  4. Step 4: Simplify right side
    231,465,414x = 124,344,097,241,173,056
  5. Step 5: Solve for x
    x = 124,344,097,241,173,056/231,465,414
  6. Step 6: Final answer
    x = 537,203,788.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.