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Finding the Third Proportional to 102,583,056 and 216,612,384

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Solution

The third proportional to 102,583,056 and 216,612,384 is: 457,394,493.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,583,056 : 216,612,384 = 216,612,384 : x
  2. Step 2: Convert to fraction form
    102,583,056/216,612,384 = 216,612,384/x
  3. Step 3: Cross multiply
    102,583,056x = 216,612,384 × 216,612,384
  4. Step 4: Simplify right side
    102,583,056x = 46,920,924,902,163,456
  5. Step 5: Solve for x
    x = 46,920,924,902,163,456/102,583,056
  6. Step 6: Final answer
    x = 457,394,493.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.