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Finding the Third Proportional to 86,656,350,321 and 188,696,771,253

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Solution

The third proportional to 86,656,350,321 and 188,696,771,253 is: 410,892,812,233.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,656,350,321 : 188,696,771,253 = 188,696,771,253 : x
  2. Step 2: Convert to fraction form
    86,656,350,321/188,696,771,253 = 188,696,771,253/x
  3. Step 3: Cross multiply
    86,656,350,321x = 188,696,771,253 × 188,696,771,253
  4. Step 4: Simplify right side
    86,656,350,321x = 35,606,471,481,307,007,287,296
  5. Step 5: Solve for x
    x = 35,606,471,481,307,007,287,296/86,656,350,321
  6. Step 6: Final answer
    x = 410,892,812,233.73

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Why These Related Problems?

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