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Finding the Third Proportional to 171,167,746.50 and 260,024,829.75

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Solution

The third proportional to 171,167,746.50 and 260,024,829.75 is: 395,009,652.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,167,746.50 : 260,024,829.75 = 260,024,829.75 : x
  2. Step 2: Convert to fraction form
    171,167,746.50/260,024,829.75 = 260,024,829.75/x
  3. Step 3: Cross multiply
    171,167,746.50x = 260,024,829.75 × 260,024,829.75
  4. Step 4: Simplify right side
    171,167,746.50x = 67,612,912,086,516,488
  5. Step 5: Solve for x
    x = 67,612,912,086,516,488/171,167,746.50
  6. Step 6: Final answer
    x = 395,009,652.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.