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Finding the Third Proportional to 167,832,780.75 and 353,059,258.50

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Solution

The third proportional to 167,832,780.75 and 353,059,258.50 is: 742,708,542.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,832,780.75 : 353,059,258.50 = 353,059,258.50 : x
  2. Step 2: Convert to fraction form
    167,832,780.75/353,059,258.50 = 353,059,258.50/x
  3. Step 3: Cross multiply
    167,832,780.75x = 353,059,258.50 × 353,059,258.50
  4. Step 4: Simplify right side
    167,832,780.75x = 124,650,840,012,569,824
  5. Step 5: Solve for x
    x = 124,650,840,012,569,824/167,832,780.75
  6. Step 6: Final answer
    x = 742,708,542.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.