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Finding the Third Proportional to 83,709.70 and 197,567.86

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Solution

The third proportional to 83,709.70 and 197,567.86 is: 466,290.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,709.70 : 197,567.86 = 197,567.86 : x
  2. Step 2: Convert to fraction form
    83,709.70/197,567.86 = 197,567.86/x
  3. Step 3: Cross multiply
    83,709.70x = 197,567.86 × 197,567.86
  4. Step 4: Simplify right side
    83,709.70x = 39,033,059,058.02
  5. Step 5: Solve for x
    x = 39,033,059,058.02/83,709.70
  6. Step 6: Final answer
    x = 466,290.74

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.