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Finding the Third Proportional to 147,662.63 and 316,300.88

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Solution

The third proportional to 147,662.63 and 316,300.88 is: 677,532.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,662.63 : 316,300.88 = 316,300.88 : x
  2. Step 2: Convert to fraction form
    147,662.63/316,300.88 = 316,300.88/x
  3. Step 3: Cross multiply
    147,662.63x = 316,300.88 × 316,300.88
  4. Step 4: Simplify right side
    147,662.63x = 100,046,243,525.77
  5. Step 5: Solve for x
    x = 100,046,243,525.77/147,662.63
  6. Step 6: Final answer
    x = 677,532.61

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