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Finding the Third Proportional to 86,656,350,323 and 188,696,771,257

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Solution

The third proportional to 86,656,350,323 and 188,696,771,257 is: 410,892,812,241.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,656,350,323 : 188,696,771,257 = 188,696,771,257 : x
  2. Step 2: Convert to fraction form
    86,656,350,323/188,696,771,257 = 188,696,771,257/x
  3. Step 3: Cross multiply
    86,656,350,323x = 188,696,771,257 × 188,696,771,257
  4. Step 4: Simplify right side
    86,656,350,323x = 35,606,471,482,816,583,434,240
  5. Step 5: Solve for x
    x = 35,606,471,482,816,583,434,240/86,656,350,323
  6. Step 6: Final answer
    x = 410,892,812,241.67

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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.