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Finding the Third Proportional to 88,643 and 191,495

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Solution

The third proportional to 88,643 and 191,495 is: 413,685.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,643 : 191,495 = 191,495 : x
  2. Step 2: Convert to fraction form
    88,643/191,495 = 191,495/x
  3. Step 3: Cross multiply
    88,643x = 191,495 × 191,495
  4. Step 4: Simplify right side
    88,643x = 36,670,335,025
  5. Step 5: Solve for x
    x = 36,670,335,025/88,643
  6. Step 6: Final answer
    x = 413,685.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.