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Finding the Third Proportional to 145,138,468,604.50 and 227,181,344,026

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Solution

The third proportional to 145,138,468,604.50 and 227,181,344,026 is: 355,600,851,860.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,138,468,604.50 : 227,181,344,026 = 227,181,344,026 : x
  2. Step 2: Convert to fraction form
    145,138,468,604.50/227,181,344,026 = 227,181,344,026/x
  3. Step 3: Cross multiply
    145,138,468,604.50x = 227,181,344,026 × 227,181,344,026
  4. Step 4: Simplify right side
    145,138,468,604.50x = 51,611,363,073,459,769,835,520
  5. Step 5: Solve for x
    x = 51,611,363,073,459,769,835,520/145,138,468,604.50
  6. Step 6: Final answer
    x = 355,600,851,860.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.