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Finding the Third Proportional to 48,765.19 and 106,460.63

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Solution

The third proportional to 48,765.19 and 106,460.63 is: 232,417.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,765.19 : 106,460.63 = 106,460.63 : x
  2. Step 2: Convert to fraction form
    48,765.19/106,460.63 = 106,460.63/x
  3. Step 3: Cross multiply
    48,765.19x = 106,460.63 × 106,460.63
  4. Step 4: Simplify right side
    48,765.19x = 11,333,864,675.39
  5. Step 5: Solve for x
    x = 11,333,864,675.39/48,765.19
  6. Step 6: Final answer
    x = 232,417.12

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.