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Finding the Third Proportional to 40,098.38 and 63,068.63

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Solution

The third proportional to 40,098.38 and 63,068.63 is: 99,197.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,098.38 : 63,068.63 = 63,068.63 : x
  2. Step 2: Convert to fraction form
    40,098.38/63,068.63 = 63,068.63/x
  3. Step 3: Cross multiply
    40,098.38x = 63,068.63 × 63,068.63
  4. Step 4: Simplify right side
    40,098.38x = 3,977,651,459.39
  5. Step 5: Solve for x
    x = 3,977,651,459.39/40,098.38
  6. Step 6: Final answer
    x = 99,197.32

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.