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Finding the Third Proportional to 69,969,906 and 144,411,120

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Solution

The third proportional to 69,969,906 and 144,411,120 is: 298,050,587.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,969,906 : 144,411,120 = 144,411,120 : x
  2. Step 2: Convert to fraction form
    69,969,906/144,411,120 = 144,411,120/x
  3. Step 3: Cross multiply
    69,969,906x = 144,411,120 × 144,411,120
  4. Step 4: Simplify right side
    69,969,906x = 20,854,571,579,654,400
  5. Step 5: Solve for x
    x = 20,854,571,579,654,400/69,969,906
  6. Step 6: Final answer
    x = 298,050,587.34

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.