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Finding the Third Proportional to 47,368.13 and 101,300.63

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Solution

The third proportional to 47,368.13 and 101,300.63 is: 216,639.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,368.13 : 101,300.63 = 101,300.63 : x
  2. Step 2: Convert to fraction form
    47,368.13/101,300.63 = 101,300.63/x
  3. Step 3: Cross multiply
    47,368.13x = 101,300.63 × 101,300.63
  4. Step 4: Simplify right side
    47,368.13x = 10,261,816,625.39
  5. Step 5: Solve for x
    x = 10,261,816,625.39/47,368.13
  6. Step 6: Final answer
    x = 216,639.70

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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.