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Finding the Third Proportional to 76,650,564 and 114,947,700

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Solution

The third proportional to 76,650,564 and 114,947,700 is: 172,379,341.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,650,564 : 114,947,700 = 114,947,700 : x
  2. Step 2: Convert to fraction form
    76,650,564/114,947,700 = 114,947,700/x
  3. Step 3: Cross multiply
    76,650,564x = 114,947,700 × 114,947,700
  4. Step 4: Simplify right side
    76,650,564x = 13,212,973,735,290,000
  5. Step 5: Solve for x
    x = 13,212,973,735,290,000/76,650,564
  6. Step 6: Final answer
    x = 172,379,341.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.