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Finding the Third Proportional to 90,951.65 and 191,330.46

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Solution

The third proportional to 90,951.65 and 191,330.46 is: 402,492.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,951.65 : 191,330.46 = 191,330.46 : x
  2. Step 2: Convert to fraction form
    90,951.65/191,330.46 = 191,330.46/x
  3. Step 3: Cross multiply
    90,951.65x = 191,330.46 × 191,330.46
  4. Step 4: Simplify right side
    90,951.65x = 36,607,346,403.63
  5. Step 5: Solve for x
    x = 36,607,346,403.63/90,951.65
  6. Step 6: Final answer
    x = 402,492.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.