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Finding the Third Proportional to 72,829,765.50 and 156,021,736.50

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Solution

The third proportional to 72,829,765.50 and 156,021,736.50 is: 334,242,216.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,829,765.50 : 156,021,736.50 = 156,021,736.50 : x
  2. Step 2: Convert to fraction form
    72,829,765.50/156,021,736.50 = 156,021,736.50/x
  3. Step 3: Cross multiply
    72,829,765.50x = 156,021,736.50 × 156,021,736.50
  4. Step 4: Simplify right side
    72,829,765.50x = 24,342,782,260,475,432
  5. Step 5: Solve for x
    x = 24,342,782,260,475,432/72,829,765.50
  6. Step 6: Final answer
    x = 334,242,216.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.