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Finding the Third Proportional to 175,802,385 and 258,622,083

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Solution

The third proportional to 175,802,385 and 258,622,083 is: 380,457,761.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,802,385 : 258,622,083 = 258,622,083 : x
  2. Step 2: Convert to fraction form
    175,802,385/258,622,083 = 258,622,083/x
  3. Step 3: Cross multiply
    175,802,385x = 258,622,083 × 258,622,083
  4. Step 4: Simplify right side
    175,802,385x = 66,885,381,815,258,888
  5. Step 5: Solve for x
    x = 66,885,381,815,258,888/175,802,385
  6. Step 6: Final answer
    x = 380,457,761.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.