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Finding the Third Proportional to 134,964,388,713.50 and 290,240,452,447

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Solution

The third proportional to 134,964,388,713.50 and 290,240,452,447 is: 624,161,091,971.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,964,388,713.50 : 290,240,452,447 = 290,240,452,447 : x
  2. Step 2: Convert to fraction form
    134,964,388,713.50/290,240,452,447 = 290,240,452,447/x
  3. Step 3: Cross multiply
    134,964,388,713.50x = 290,240,452,447 × 290,240,452,447
  4. Step 4: Simplify right side
    134,964,388,713.50x = 84,239,520,236,639,275,188,224
  5. Step 5: Solve for x
    x = 84,239,520,236,639,275,188,224/134,964,388,713.50
  6. Step 6: Final answer
    x = 624,161,091,971.17

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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.