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Finding the Third Proportional to 69,081,498 and 148,924,129.50

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Solution

The third proportional to 69,081,498 and 148,924,129.50 is: 321,046,835.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,081,498 : 148,924,129.50 = 148,924,129.50 : x
  2. Step 2: Convert to fraction form
    69,081,498/148,924,129.50 = 148,924,129.50/x
  3. Step 3: Cross multiply
    69,081,498x = 148,924,129.50 × 148,924,129.50
  4. Step 4: Simplify right side
    69,081,498x = 22,178,396,347,332,772
  5. Step 5: Solve for x
    x = 22,178,396,347,332,772/69,081,498
  6. Step 6: Final answer
    x = 321,046,835.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.