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Finding the Third Proportional to 102,654 and 219,494.53

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Solution

The third proportional to 102,654 and 219,494.53 is: 469,322.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,654 : 219,494.53 = 219,494.53 : x
  2. Step 2: Convert to fraction form
    102,654/219,494.53 = 219,494.53/x
  3. Step 3: Cross multiply
    102,654x = 219,494.53 × 219,494.53
  4. Step 4: Simplify right side
    102,654x = 48,177,849,248.66
  5. Step 5: Solve for x
    x = 48,177,849,248.66/102,654
  6. Step 6: Final answer
    x = 469,322.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.