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Finding the Third Proportional to 98,492.63 and 152,801.44

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Solution

The third proportional to 98,492.63 and 152,801.44 is: 237,056.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,492.63 : 152,801.44 = 152,801.44 : x
  2. Step 2: Convert to fraction form
    98,492.63/152,801.44 = 152,801.44/x
  3. Step 3: Cross multiply
    98,492.63x = 152,801.44 × 152,801.44
  4. Step 4: Simplify right side
    98,492.63x = 23,348,279,302.07
  5. Step 5: Solve for x
    x = 23,348,279,302.07/98,492.63
  6. Step 6: Final answer
    x = 237,056.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.