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Finding the Third Proportional to 153,204,364 and 229,263,736

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Solution

The third proportional to 153,204,364 and 229,263,736 is: 343,083,312.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,204,364 : 229,263,736 = 229,263,736 : x
  2. Step 2: Convert to fraction form
    153,204,364/229,263,736 = 229,263,736/x
  3. Step 3: Cross multiply
    153,204,364x = 229,263,736 × 229,263,736
  4. Step 4: Simplify right side
    153,204,364x = 52,561,860,644,677,696
  5. Step 5: Solve for x
    x = 52,561,860,644,677,696/153,204,364
  6. Step 6: Final answer
    x = 343,083,312.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.