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Finding the Third Proportional to 45,468 and 98,804.81

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Solution

The third proportional to 45,468 and 98,804.81 is: 214,709.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,468 : 98,804.81 = 98,804.81 : x
  2. Step 2: Convert to fraction form
    45,468/98,804.81 = 98,804.81/x
  3. Step 3: Cross multiply
    45,468x = 98,804.81 × 98,804.81
  4. Step 4: Simplify right side
    45,468x = 9,762,390,973.16
  5. Step 5: Solve for x
    x = 9,762,390,973.16/45,468
  6. Step 6: Final answer
    x = 214,709.05

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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.