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Finding the Third Proportional to 214,881,427 and 460,398,167

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Solution

The third proportional to 214,881,427 and 460,398,167 is: 986,434,589.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,881,427 : 460,398,167 = 460,398,167 : x
  2. Step 2: Convert to fraction form
    214,881,427/460,398,167 = 460,398,167/x
  3. Step 3: Cross multiply
    214,881,427x = 460,398,167 × 460,398,167
  4. Step 4: Simplify right side
    214,881,427x = 211,966,472,176,959,904
  5. Step 5: Solve for x
    x = 211,966,472,176,959,904/214,881,427
  6. Step 6: Final answer
    x = 986,434,589.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.