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Finding the Third Proportional to 77,976,961 and 168,970,946

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Solution

The third proportional to 77,976,961 and 168,970,946 is: 366,148,926.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,976,961 : 168,970,946 = 168,970,946 : x
  2. Step 2: Convert to fraction form
    77,976,961/168,970,946 = 168,970,946/x
  3. Step 3: Cross multiply
    77,976,961x = 168,970,946 × 168,970,946
  4. Step 4: Simplify right side
    77,976,961x = 28,551,180,592,134,916
  5. Step 5: Solve for x
    x = 28,551,180,592,134,916/77,976,961
  6. Step 6: Final answer
    x = 366,148,926.89

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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.