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Finding the Third Proportional to 116,742,615.75 and 171,600,599.25

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Solution

The third proportional to 116,742,615.75 and 171,600,599.25 is: 252,236,644.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,742,615.75 : 171,600,599.25 = 171,600,599.25 : x
  2. Step 2: Convert to fraction form
    116,742,615.75/171,600,599.25 = 171,600,599.25/x
  3. Step 3: Cross multiply
    116,742,615.75x = 171,600,599.25 × 171,600,599.25
  4. Step 4: Simplify right side
    116,742,615.75x = 29,446,765,662,959,100
  5. Step 5: Solve for x
    x = 29,446,765,662,959,100/116,742,615.75
  6. Step 6: Final answer
    x = 252,236,644.47

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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.