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Finding the Third Proportional to 93,758.34 and 202,176.84

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Solution

The third proportional to 93,758.34 and 202,176.84 is: 435,966.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,758.34 : 202,176.84 = 202,176.84 : x
  2. Step 2: Convert to fraction form
    93,758.34/202,176.84 = 202,176.84/x
  3. Step 3: Cross multiply
    93,758.34x = 202,176.84 × 202,176.84
  4. Step 4: Simplify right side
    93,758.34x = 40,875,476,148.71
  5. Step 5: Solve for x
    x = 40,875,476,148.71/93,758.34
  6. Step 6: Final answer
    x = 435,966.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.