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Finding the Third Proportional to 138,067,764.50 and 306,782,763.50

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Solution

The third proportional to 138,067,764.50 and 306,782,763.50 is: 681,662,836.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,067,764.50 : 306,782,763.50 = 306,782,763.50 : x
  2. Step 2: Convert to fraction form
    138,067,764.50/306,782,763.50 = 306,782,763.50/x
  3. Step 3: Cross multiply
    138,067,764.50x = 306,782,763.50 × 306,782,763.50
  4. Step 4: Simplify right side
    138,067,764.50x = 94,115,663,980,696,928
  5. Step 5: Solve for x
    x = 94,115,663,980,696,928/138,067,764.50
  6. Step 6: Final answer
    x = 681,662,836.52

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.