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Finding the Third Proportional to 97,008.94 and 144,916.13

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Solution

The third proportional to 97,008.94 and 144,916.13 is: 216,481.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,008.94 : 144,916.13 = 144,916.13 : x
  2. Step 2: Convert to fraction form
    97,008.94/144,916.13 = 144,916.13/x
  3. Step 3: Cross multiply
    97,008.94x = 144,916.13 × 144,916.13
  4. Step 4: Simplify right side
    97,008.94x = 21,000,683,285.02
  5. Step 5: Solve for x
    x = 21,000,683,285.02/97,008.94
  6. Step 6: Final answer
    x = 216,481.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.