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Finding the Third Proportional to 99,754.88 and 215,335.13

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Solution

The third proportional to 99,754.88 and 215,335.13 is: 464,831.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,754.88 : 215,335.13 = 215,335.13 : x
  2. Step 2: Convert to fraction form
    99,754.88/215,335.13 = 215,335.13/x
  3. Step 3: Cross multiply
    99,754.88x = 215,335.13 × 215,335.13
  4. Step 4: Simplify right side
    99,754.88x = 46,369,216,058.77
  5. Step 5: Solve for x
    x = 46,369,216,058.77/99,754.88
  6. Step 6: Final answer
    x = 464,831.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.