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Finding the Third Proportional to 133,971,656 and 290,205,256

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Solution

The third proportional to 133,971,656 and 290,205,256 is: 628,633,646.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,971,656 : 290,205,256 = 290,205,256 : x
  2. Step 2: Convert to fraction form
    133,971,656/290,205,256 = 290,205,256/x
  3. Step 3: Cross multiply
    133,971,656x = 290,205,256 × 290,205,256
  4. Step 4: Simplify right side
    133,971,656x = 84,219,090,610,025,536
  5. Step 5: Solve for x
    x = 84,219,090,610,025,536/133,971,656
  6. Step 6: Final answer
    x = 628,633,646.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.