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Finding the Third Proportional to 124,628,739.75 and 288,492,964.88

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Solution

The third proportional to 124,628,739.75 and 288,492,964.88 is: 667,808,973.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,628,739.75 : 288,492,964.88 = 288,492,964.88 : x
  2. Step 2: Convert to fraction form
    124,628,739.75/288,492,964.88 = 288,492,964.88/x
  3. Step 3: Cross multiply
    124,628,739.75x = 288,492,964.88 × 288,492,964.88
  4. Step 4: Simplify right side
    124,628,739.75x = 83,228,190,782,367,984
  5. Step 5: Solve for x
    x = 83,228,190,782,367,984/124,628,739.75
  6. Step 6: Final answer
    x = 667,808,973.67

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.