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Finding the Third Proportional to 201,906,012,032.71 and 436,049,527,297.82

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Solution

The third proportional to 201,906,012,032.71 and 436,049,527,297.82 is: 941,721,290,725.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,906,012,032.71 : 436,049,527,297.82 = 436,049,527,297.82 : x
  2. Step 2: Convert to fraction form
    201,906,012,032.71/436,049,527,297.82 = 436,049,527,297.82/x
  3. Step 3: Cross multiply
    201,906,012,032.71x = 436,049,527,297.82 × 436,049,527,297.82
  4. Step 4: Simplify right side
    201,906,012,032.71x = 190,139,190,256,652,290,883,584
  5. Step 5: Solve for x
    x = 190,139,190,256,652,290,883,584/201,906,012,032.71
  6. Step 6: Final answer
    x = 941,721,290,725.35

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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.