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Finding the Third Proportional to 128,833,709.63 and 192,829,566.94

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Solution

The third proportional to 128,833,709.63 and 192,829,566.94 is: 288,614,229.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,833,709.63 : 192,829,566.94 = 192,829,566.94 : x
  2. Step 2: Convert to fraction form
    128,833,709.63/192,829,566.94 = 192,829,566.94/x
  3. Step 3: Cross multiply
    128,833,709.63x = 192,829,566.94 × 192,829,566.94
  4. Step 4: Simplify right side
    128,833,709.63x = 37,183,241,885,303,792
  5. Step 5: Solve for x
    x = 37,183,241,885,303,792/128,833,709.63
  6. Step 6: Final answer
    x = 288,614,229.87

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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.