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Finding the Third Proportional to 69,534,510 and 144,791,416

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Solution

The third proportional to 69,534,510 and 144,791,416 is: 301,498,552.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,534,510 : 144,791,416 = 144,791,416 : x
  2. Step 2: Convert to fraction form
    69,534,510/144,791,416 = 144,791,416/x
  3. Step 3: Cross multiply
    69,534,510x = 144,791,416 × 144,791,416
  4. Step 4: Simplify right side
    69,534,510x = 20,964,554,147,285,056
  5. Step 5: Solve for x
    x = 20,964,554,147,285,056/69,534,510
  6. Step 6: Final answer
    x = 301,498,552.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.