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Finding the Third Proportional to 204,638,081 and 314,546,741

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Solution

The third proportional to 204,638,081 and 314,546,741 is: 483,486,024.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,638,081 : 314,546,741 = 314,546,741 : x
  2. Step 2: Convert to fraction form
    204,638,081/314,546,741 = 314,546,741/x
  3. Step 3: Cross multiply
    204,638,081x = 314,546,741 × 314,546,741
  4. Step 4: Simplify right side
    204,638,081x = 98,939,652,273,721,088
  5. Step 5: Solve for x
    x = 98,939,652,273,721,088/204,638,081
  6. Step 6: Final answer
    x = 483,486,024.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.