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Finding the Third Proportional to 153,715,824 and 331,925,227

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Solution

The third proportional to 153,715,824 and 331,925,227 is: 716,740,498.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,715,824 : 331,925,227 = 331,925,227 : x
  2. Step 2: Convert to fraction form
    153,715,824/331,925,227 = 331,925,227/x
  3. Step 3: Cross multiply
    153,715,824x = 331,925,227 × 331,925,227
  4. Step 4: Simplify right side
    153,715,824x = 110,174,356,319,001,536
  5. Step 5: Solve for x
    x = 110,174,356,319,001,536/153,715,824
  6. Step 6: Final answer
    x = 716,740,498.49

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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.