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Finding the Third Proportional to 150,008.63 and 219,088.13

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Solution

The third proportional to 150,008.63 and 219,088.13 is: 319,978.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,008.63 : 219,088.13 = 219,088.13 : x
  2. Step 2: Convert to fraction form
    150,008.63/219,088.13 = 219,088.13/x
  3. Step 3: Cross multiply
    150,008.63x = 219,088.13 × 219,088.13
  4. Step 4: Simplify right side
    150,008.63x = 47,999,606,516.02
  5. Step 5: Solve for x
    x = 47,999,606,516.02/150,008.63
  6. Step 6: Final answer
    x = 319,978.98

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.