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Finding the Third Proportional to 86,656,427,953.50 and 188,696,928,691.50

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Solution

The third proportional to 86,656,427,953.50 and 188,696,928,691.50 is: 410,893,129,782.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,656,427,953.50 : 188,696,928,691.50 = 188,696,928,691.50 : x
  2. Step 2: Convert to fraction form
    86,656,427,953.50/188,696,928,691.50 = 188,696,928,691.50/x
  3. Step 3: Cross multiply
    86,656,427,953.50x = 188,696,928,691.50 × 188,696,928,691.50
  4. Step 4: Simplify right side
    86,656,427,953.50x = 35,606,530,897,605,033,984,000
  5. Step 5: Solve for x
    x = 35,606,530,897,605,033,984,000/86,656,427,953.50
  6. Step 6: Final answer
    x = 410,893,129,782.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.