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Finding the Third Proportional to 148,688.63 and 211,960.88

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Solution

The third proportional to 148,688.63 and 211,960.88 is: 302,157.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,688.63 : 211,960.88 = 211,960.88 : x
  2. Step 2: Convert to fraction form
    148,688.63/211,960.88 = 211,960.88/x
  3. Step 3: Cross multiply
    148,688.63x = 211,960.88 × 211,960.88
  4. Step 4: Simplify right side
    148,688.63x = 44,927,412,530.77
  5. Step 5: Solve for x
    x = 44,927,412,530.77/148,688.63
  6. Step 6: Final answer
    x = 302,157.70

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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.