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Finding the Third Proportional to 175,802,382 and 258,622,077

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Solution

The third proportional to 175,802,382 and 258,622,077 is: 380,457,750.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,802,382 : 258,622,077 = 258,622,077 : x
  2. Step 2: Convert to fraction form
    175,802,382/258,622,077 = 258,622,077/x
  3. Step 3: Cross multiply
    175,802,382x = 258,622,077 × 258,622,077
  4. Step 4: Simplify right side
    175,802,382x = 66,885,378,711,793,928
  5. Step 5: Solve for x
    x = 66,885,378,711,793,928/175,802,382
  6. Step 6: Final answer
    x = 380,457,750.07

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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.