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Finding the Third Proportional to 88,446,824 and 191,381,200

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Solution

The third proportional to 88,446,824 and 191,381,200 is: 414,110,558.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,446,824 : 191,381,200 = 191,381,200 : x
  2. Step 2: Convert to fraction form
    88,446,824/191,381,200 = 191,381,200/x
  3. Step 3: Cross multiply
    88,446,824x = 191,381,200 × 191,381,200
  4. Step 4: Simplify right side
    88,446,824x = 36,626,763,713,440,000
  5. Step 5: Solve for x
    x = 36,626,763,713,440,000/88,446,824
  6. Step 6: Final answer
    x = 414,110,558.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.