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Finding the Third Proportional to 153,503,460 and 333,902,232

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Solution

The third proportional to 153,503,460 and 333,902,232 is: 726,307,410.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,503,460 : 333,902,232 = 333,902,232 : x
  2. Step 2: Convert to fraction form
    153,503,460/333,902,232 = 333,902,232/x
  3. Step 3: Cross multiply
    153,503,460x = 333,902,232 × 333,902,232
  4. Step 4: Simplify right side
    153,503,460x = 111,490,700,534,581,824
  5. Step 5: Solve for x
    x = 111,490,700,534,581,824/153,503,460
  6. Step 6: Final answer
    x = 726,307,410.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.