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Finding the Third Proportional to 156,665,775,068 and 235,164,482,036

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Solution

The third proportional to 156,665,775,068 and 235,164,482,036 is: 352,995,627,712.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,665,775,068 : 235,164,482,036 = 235,164,482,036 : x
  2. Step 2: Convert to fraction form
    156,665,775,068/235,164,482,036 = 235,164,482,036/x
  3. Step 3: Cross multiply
    156,665,775,068x = 235,164,482,036 × 235,164,482,036
  4. Step 4: Simplify right side
    156,665,775,068x = 55,302,333,611,260,164,177,920
  5. Step 5: Solve for x
    x = 55,302,333,611,260,164,177,920/156,665,775,068
  6. Step 6: Final answer
    x = 352,995,627,712.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.