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Finding the Third Proportional to 108,494,169.75 and 238,058,624.25

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Solution

The third proportional to 108,494,169.75 and 238,058,624.25 is: 522,349,806.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,494,169.75 : 238,058,624.25 = 238,058,624.25 : x
  2. Step 2: Convert to fraction form
    108,494,169.75/238,058,624.25 = 238,058,624.25/x
  3. Step 3: Cross multiply
    108,494,169.75x = 238,058,624.25 × 238,058,624.25
  4. Step 4: Simplify right side
    108,494,169.75x = 56,671,908,579,802,688
  5. Step 5: Solve for x
    x = 56,671,908,579,802,688/108,494,169.75
  6. Step 6: Final answer
    x = 522,349,806.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.