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Finding the Third Proportional to 86,572,378,660 and 186,173,602,617

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Solution

The third proportional to 86,572,378,660 and 186,173,602,617 is: 400,365,692,243.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,572,378,660 : 186,173,602,617 = 186,173,602,617 : x
  2. Step 2: Convert to fraction form
    86,572,378,660/186,173,602,617 = 186,173,602,617/x
  3. Step 3: Cross multiply
    86,572,378,660x = 186,173,602,617 × 186,173,602,617
  4. Step 4: Simplify right side
    86,572,378,660x = 34,660,610,311,392,627,523,584
  5. Step 5: Solve for x
    x = 34,660,610,311,392,627,523,584/86,572,378,660
  6. Step 6: Final answer
    x = 400,365,692,243.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.