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Finding the Third Proportional to 143,484,950,137 and 308,263,528,760.50

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Solution

The third proportional to 143,484,950,137 and 308,263,528,760.50 is: 662,274,357,506.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,484,950,137 : 308,263,528,760.50 = 308,263,528,760.50 : x
  2. Step 2: Convert to fraction form
    143,484,950,137/308,263,528,760.50 = 308,263,528,760.50/x
  3. Step 3: Cross multiply
    143,484,950,137x = 308,263,528,760.50 × 308,263,528,760.50
  4. Step 4: Simplify right side
    143,484,950,137x = 95,026,403,163,875,617,800,192
  5. Step 5: Solve for x
    x = 95,026,403,163,875,617,800,192/143,484,950,137
  6. Step 6: Final answer
    x = 662,274,357,506.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.