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Finding the Third Proportional to 105,577,819.88 and 220,808,693.25

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Solution

The third proportional to 105,577,819.88 and 220,808,693.25 is: 461,806,078.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,577,819.88 : 220,808,693.25 = 220,808,693.25 : x
  2. Step 2: Convert to fraction form
    105,577,819.88/220,808,693.25 = 220,808,693.25/x
  3. Step 3: Cross multiply
    105,577,819.88x = 220,808,693.25 × 220,808,693.25
  4. Step 4: Simplify right side
    105,577,819.88x = 48,756,479,014,772,592
  5. Step 5: Solve for x
    x = 48,756,479,014,772,592/105,577,819.88
  6. Step 6: Final answer
    x = 461,806,078.90

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.