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Finding the Third Proportional to 45,802.97 and 99,437.63

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Solution

The third proportional to 45,802.97 and 99,437.63 is: 215,877.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,802.97 : 99,437.63 = 99,437.63 : x
  2. Step 2: Convert to fraction form
    45,802.97/99,437.63 = 99,437.63/x
  3. Step 3: Cross multiply
    45,802.97x = 99,437.63 × 99,437.63
  4. Step 4: Simplify right side
    45,802.97x = 9,887,841,265.64
  5. Step 5: Solve for x
    x = 9,887,841,265.64/45,802.97
  6. Step 6: Final answer
    x = 215,877.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.