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Finding the Third Proportional to 153,306,279,481.50 and 333,607,895,514

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Solution

The third proportional to 153,306,279,481.50 and 333,607,895,514 is: 725,960,008,459.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,306,279,481.50 : 333,607,895,514 = 333,607,895,514 : x
  2. Step 2: Convert to fraction form
    153,306,279,481.50/333,607,895,514 = 333,607,895,514/x
  3. Step 3: Cross multiply
    153,306,279,481.50x = 333,607,895,514 × 333,607,895,514
  4. Step 4: Simplify right side
    153,306,279,481.50x = 111,294,227,949,279,942,541,312
  5. Step 5: Solve for x
    x = 111,294,227,949,279,942,541,312/153,306,279,481.50
  6. Step 6: Final answer
    x = 725,960,008,459.47

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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.