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Finding the Third Proportional to 102,731,272 and 213,965,584

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Solution

The third proportional to 102,731,272 and 213,965,584 is: 445,641,042.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,731,272 : 213,965,584 = 213,965,584 : x
  2. Step 2: Convert to fraction form
    102,731,272/213,965,584 = 213,965,584/x
  3. Step 3: Cross multiply
    102,731,272x = 213,965,584 × 213,965,584
  4. Step 4: Simplify right side
    102,731,272x = 45,781,271,136,461,056
  5. Step 5: Solve for x
    x = 45,781,271,136,461,056/102,731,272
  6. Step 6: Final answer
    x = 445,641,042.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.