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Finding the Third Proportional to 47,178.07 and 101,095.59

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Solution

The third proportional to 47,178.07 and 101,095.59 is: 216,632.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,178.07 : 101,095.59 = 101,095.59 : x
  2. Step 2: Convert to fraction form
    47,178.07/101,095.59 = 101,095.59/x
  3. Step 3: Cross multiply
    47,178.07x = 101,095.59 × 101,095.59
  4. Step 4: Simplify right side
    47,178.07x = 10,220,319,075.67
  5. Step 5: Solve for x
    x = 10,220,319,075.67/47,178.07
  6. Step 6: Final answer
    x = 216,632.83

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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.