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Finding the Third Proportional to 106,525,548 and 229,230,517.50

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Solution

The third proportional to 106,525,548 and 229,230,517.50 is: 493,277,257.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,525,548 : 229,230,517.50 = 229,230,517.50 : x
  2. Step 2: Convert to fraction form
    106,525,548/229,230,517.50 = 229,230,517.50/x
  3. Step 3: Cross multiply
    106,525,548x = 229,230,517.50 × 229,230,517.50
  4. Step 4: Simplify right side
    106,525,548x = 52,546,630,153,317,808
  5. Step 5: Solve for x
    x = 52,546,630,153,317,808/106,525,548
  6. Step 6: Final answer
    x = 493,277,257.33

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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.