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Finding the Third Proportional to 180,236,696.50 and 370,028,207

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Solution

The third proportional to 180,236,696.50 and 370,028,207 is: 759,672,567.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,236,696.50 : 370,028,207 = 370,028,207 : x
  2. Step 2: Convert to fraction form
    180,236,696.50/370,028,207 = 370,028,207/x
  3. Step 3: Cross multiply
    180,236,696.50x = 370,028,207 × 370,028,207
  4. Step 4: Simplify right side
    180,236,696.50x = 136,920,873,975,634,848
  5. Step 5: Solve for x
    x = 136,920,873,975,634,848/180,236,696.50
  6. Step 6: Final answer
    x = 759,672,567.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.