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Finding the Third Proportional to 174,782,731.50 and 260,977,686.75

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Solution

The third proportional to 174,782,731.50 and 260,977,686.75 is: 389,680,103.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,782,731.50 : 260,977,686.75 = 260,977,686.75 : x
  2. Step 2: Convert to fraction form
    174,782,731.50/260,977,686.75 = 260,977,686.75/x
  3. Step 3: Cross multiply
    174,782,731.50x = 260,977,686.75 × 260,977,686.75
  4. Step 4: Simplify right side
    174,782,731.50x = 68,109,352,981,381,128
  5. Step 5: Solve for x
    x = 68,109,352,981,381,128/174,782,731.50
  6. Step 6: Final answer
    x = 389,680,103.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.