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Finding the Third Proportional to 186,592,833 and 404,902,812.75

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Solution

The third proportional to 186,592,833 and 404,902,812.75 is: 878,631,216.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,592,833 : 404,902,812.75 = 404,902,812.75 : x
  2. Step 2: Convert to fraction form
    186,592,833/404,902,812.75 = 404,902,812.75/x
  3. Step 3: Cross multiply
    186,592,833x = 404,902,812.75 × 404,902,812.75
  4. Step 4: Simplify right side
    186,592,833x = 163,946,287,772,861,568
  5. Step 5: Solve for x
    x = 163,946,287,772,861,568/186,592,833
  6. Step 6: Final answer
    x = 878,631,216.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.