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Finding the Third Proportional to 187,528,344 and 405,375,168

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Solution

The third proportional to 187,528,344 and 405,375,168 is: 876,289,009.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,528,344 : 405,375,168 = 405,375,168 : x
  2. Step 2: Convert to fraction form
    187,528,344/405,375,168 = 405,375,168/x
  3. Step 3: Cross multiply
    187,528,344x = 405,375,168 × 405,375,168
  4. Step 4: Simplify right side
    187,528,344x = 164,329,026,831,028,224
  5. Step 5: Solve for x
    x = 164,329,026,831,028,224/187,528,344
  6. Step 6: Final answer
    x = 876,289,009.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.