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Finding the Third Proportional to 93,225.15 and 147,853.16

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Solution

The third proportional to 93,225.15 and 147,853.16 is: 234,492.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,225.15 : 147,853.16 = 147,853.16 : x
  2. Step 2: Convert to fraction form
    93,225.15/147,853.16 = 147,853.16/x
  3. Step 3: Cross multiply
    93,225.15x = 147,853.16 × 147,853.16
  4. Step 4: Simplify right side
    93,225.15x = 21,860,556,968.19
  5. Step 5: Solve for x
    x = 21,860,556,968.19/93,225.15
  6. Step 6: Final answer
    x = 234,492.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.