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Finding the Third Proportional to 42,688.69 and 93,543.19

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Solution

The third proportional to 42,688.69 and 93,543.19 is: 204,980.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,688.69 : 93,543.19 = 93,543.19 : x
  2. Step 2: Convert to fraction form
    42,688.69/93,543.19 = 93,543.19/x
  3. Step 3: Cross multiply
    42,688.69x = 93,543.19 × 93,543.19
  4. Step 4: Simplify right side
    42,688.69x = 8,750,327,927.66
  5. Step 5: Solve for x
    x = 8,750,327,927.66/42,688.69
  6. Step 6: Final answer
    x = 204,980.02

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.