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Finding the Third Proportional to 144,550,688 and 220,213,842

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Solution

The third proportional to 144,550,688 and 220,213,842 is: 335,481,877.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,550,688 : 220,213,842 = 220,213,842 : x
  2. Step 2: Convert to fraction form
    144,550,688/220,213,842 = 220,213,842/x
  3. Step 3: Cross multiply
    144,550,688x = 220,213,842 × 220,213,842
  4. Step 4: Simplify right side
    144,550,688x = 48,494,136,208,400,960
  5. Step 5: Solve for x
    x = 48,494,136,208,400,960/144,550,688
  6. Step 6: Final answer
    x = 335,481,877.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.