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Finding the Third Proportional to 93,802.13 and 147,385.88

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Solution

The third proportional to 93,802.13 and 147,385.88 is: 231,578.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,802.13 : 147,385.88 = 147,385.88 : x
  2. Step 2: Convert to fraction form
    93,802.13/147,385.88 = 147,385.88/x
  3. Step 3: Cross multiply
    93,802.13x = 147,385.88 × 147,385.88
  4. Step 4: Simplify right side
    93,802.13x = 21,722,596,149.52
  5. Step 5: Solve for x
    x = 21,722,596,149.52/93,802.13
  6. Step 6: Final answer
    x = 231,578.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.