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Finding the Third Proportional to 93,458.53 and 205,010.91

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Solution

The third proportional to 93,458.53 and 205,010.91 is: 449,712.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,458.53 : 205,010.91 = 205,010.91 : x
  2. Step 2: Convert to fraction form
    93,458.53/205,010.91 = 205,010.91/x
  3. Step 3: Cross multiply
    93,458.53x = 205,010.91 × 205,010.91
  4. Step 4: Simplify right side
    93,458.53x = 42,029,471,681.45
  5. Step 5: Solve for x
    x = 42,029,471,681.45/93,458.53
  6. Step 6: Final answer
    x = 449,712.52

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Why These Related Problems?

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