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Finding the Third Proportional to 193,517,958,142 and 302,908,458,705

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Solution

The third proportional to 193,517,958,142 and 302,908,458,705 is: 474,134,469,152.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,517,958,142 : 302,908,458,705 = 302,908,458,705 : x
  2. Step 2: Convert to fraction form
    193,517,958,142/302,908,458,705 = 302,908,458,705/x
  3. Step 3: Cross multiply
    193,517,958,142x = 302,908,458,705 × 302,908,458,705
  4. Step 4: Simplify right side
    193,517,958,142x = 91,753,534,355,038,688,772,096
  5. Step 5: Solve for x
    x = 91,753,534,355,038,688,772,096/193,517,958,142
  6. Step 6: Final answer
    x = 474,134,469,152.01

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.