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Finding the Third Proportional to 61,403,010 and 133,166,272

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Solution

The third proportional to 61,403,010 and 133,166,272 is: 288,801,086.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,403,010 : 133,166,272 = 133,166,272 : x
  2. Step 2: Convert to fraction form
    61,403,010/133,166,272 = 133,166,272/x
  3. Step 3: Cross multiply
    61,403,010x = 133,166,272 × 133,166,272
  4. Step 4: Simplify right side
    61,403,010x = 17,733,255,998,377,984
  5. Step 5: Solve for x
    x = 17,733,255,998,377,984/61,403,010
  6. Step 6: Final answer
    x = 288,801,086.43

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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.