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Finding the Third Proportional to 175,802,643 and 258,622,449.75

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Solution

The third proportional to 175,802,643 and 258,622,449.75 is: 380,458,281.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,802,643 : 258,622,449.75 = 258,622,449.75 : x
  2. Step 2: Convert to fraction form
    175,802,643/258,622,449.75 = 258,622,449.75/x
  3. Step 3: Cross multiply
    175,802,643x = 258,622,449.75 × 258,622,449.75
  4. Step 4: Simplify right side
    175,802,643x = 66,885,571,514,691,272
  5. Step 5: Solve for x
    x = 66,885,571,514,691,272/175,802,643
  6. Step 6: Final answer
    x = 380,458,281.93

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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.