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Finding the Third Proportional to 101,276.63 and 218,254.13

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Solution

The third proportional to 101,276.63 and 218,254.13 is: 470,344.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,276.63 : 218,254.13 = 218,254.13 : x
  2. Step 2: Convert to fraction form
    101,276.63/218,254.13 = 218,254.13/x
  3. Step 3: Cross multiply
    101,276.63x = 218,254.13 × 218,254.13
  4. Step 4: Simplify right side
    101,276.63x = 47,634,863,079.52
  5. Step 5: Solve for x
    x = 47,634,863,079.52/101,276.63
  6. Step 6: Final answer
    x = 470,344.10

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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.