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Finding the Third Proportional to 144,117,473,151.94 and 300,163,461,964.32

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Solution

The third proportional to 144,117,473,151.94 and 300,163,461,964.32 is: 625,171,271,240.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,117,473,151.94 : 300,163,461,964.32 = 300,163,461,964.32 : x
  2. Step 2: Convert to fraction form
    144,117,473,151.94/300,163,461,964.32 = 300,163,461,964.32/x
  3. Step 3: Cross multiply
    144,117,473,151.94x = 300,163,461,964.32 × 300,163,461,964.32
  4. Step 4: Simplify right side
    144,117,473,151.94x = 90,098,103,898,405,783,732,224
  5. Step 5: Solve for x
    x = 90,098,103,898,405,783,732,224/144,117,473,151.94
  6. Step 6: Final answer
    x = 625,171,271,240.77

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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.