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Finding the Third Proportional to 214,881,361.31 and 460,422,275.63

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Solution

The third proportional to 214,881,361.31 and 460,422,275.63 is: 986,538,202.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,881,361.31 : 460,422,275.63 = 460,422,275.63 : x
  2. Step 2: Convert to fraction form
    214,881,361.31/460,422,275.63 = 460,422,275.63/x
  3. Step 3: Cross multiply
    214,881,361.31x = 460,422,275.63 × 460,422,275.63
  4. Step 4: Simplify right side
    214,881,361.31x = 211,988,671,891,703,456
  5. Step 5: Solve for x
    x = 211,988,671,891,703,456/214,881,361.31
  6. Step 6: Final answer
    x = 986,538,202.28

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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.