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Finding the Third Proportional to 93,154 and 202,061.38

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Solution

The third proportional to 93,154 and 202,061.38 is: 438,293.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,154 : 202,061.38 = 202,061.38 : x
  2. Step 2: Convert to fraction form
    93,154/202,061.38 = 202,061.38/x
  3. Step 3: Cross multiply
    93,154x = 202,061.38 × 202,061.38
  4. Step 4: Simplify right side
    93,154x = 40,828,799,266.89
  5. Step 5: Solve for x
    x = 40,828,799,266.89/93,154
  6. Step 6: Final answer
    x = 438,293.57

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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.