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Finding the Third Proportional to 147,713.63 and 210,920.63

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Solution

The third proportional to 147,713.63 and 210,920.63 is: 301,174.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,713.63 : 210,920.63 = 210,920.63 : x
  2. Step 2: Convert to fraction form
    147,713.63/210,920.63 = 210,920.63/x
  3. Step 3: Cross multiply
    147,713.63x = 210,920.63 × 210,920.63
  4. Step 4: Simplify right side
    147,713.63x = 44,487,510,050.39
  5. Step 5: Solve for x
    x = 44,487,510,050.39/147,713.63
  6. Step 6: Final answer
    x = 301,174.05

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.