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Finding the Third Proportional to 45,345.66 and 98,457.19

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Solution

The third proportional to 45,345.66 and 98,457.19 is: 213,776.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,345.66 : 98,457.19 = 98,457.19 : x
  2. Step 2: Convert to fraction form
    45,345.66/98,457.19 = 98,457.19/x
  3. Step 3: Cross multiply
    45,345.66x = 98,457.19 × 98,457.19
  4. Step 4: Simplify right side
    45,345.66x = 9,693,817,770.41
  5. Step 5: Solve for x
    x = 9,693,817,770.41/45,345.66
  6. Step 6: Final answer
    x = 213,776.10

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Why These Related Problems?

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