Home / 148,034,904.75-320,781,694.50

Finding the Third Proportional to 148,034,904.75 and 320,781,694.50

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Solution

The third proportional to 148,034,904.75 and 320,781,694.50 is: 695,112,383.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,034,904.75 : 320,781,694.50 = 320,781,694.50 : x
  2. Step 2: Convert to fraction form
    148,034,904.75/320,781,694.50 = 320,781,694.50/x
  3. Step 3: Cross multiply
    148,034,904.75x = 320,781,694.50 × 320,781,694.50
  4. Step 4: Simplify right side
    148,034,904.75x = 102,900,895,526,291,328
  5. Step 5: Solve for x
    x = 102,900,895,526,291,328/148,034,904.75
  6. Step 6: Final answer
    x = 695,112,383.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.