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Finding the Third Proportional to 83,668,014 and 122,291,100

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Solution

The third proportional to 83,668,014 and 122,291,100 is: 178,743,493.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,668,014 : 122,291,100 = 122,291,100 : x
  2. Step 2: Convert to fraction form
    83,668,014/122,291,100 = 122,291,100/x
  3. Step 3: Cross multiply
    83,668,014x = 122,291,100 × 122,291,100
  4. Step 4: Simplify right side
    83,668,014x = 14,955,113,139,210,000
  5. Step 5: Solve for x
    x = 14,955,113,139,210,000/83,668,014
  6. Step 6: Final answer
    x = 178,743,493.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.