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Finding the Third Proportional to 153,306,279,744 and 333,607,896,192

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Solution

The third proportional to 153,306,279,744 and 333,607,896,192 is: 725,960,010,167.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,306,279,744 : 333,607,896,192 = 333,607,896,192 : x
  2. Step 2: Convert to fraction form
    153,306,279,744/333,607,896,192 = 333,607,896,192/x
  3. Step 3: Cross multiply
    153,306,279,744x = 333,607,896,192 × 333,607,896,192
  4. Step 4: Simplify right side
    153,306,279,744x = 111,294,228,401,652,255,162,368
  5. Step 5: Solve for x
    x = 111,294,228,401,652,255,162,368/153,306,279,744
  6. Step 6: Final answer
    x = 725,960,010,167.22

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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.