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Finding the Third Proportional to 109,142 and 229,292

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Solution

The third proportional to 109,142 and 229,292 is: 481,710.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,142 : 229,292 = 229,292 : x
  2. Step 2: Convert to fraction form
    109,142/229,292 = 229,292/x
  3. Step 3: Cross multiply
    109,142x = 229,292 × 229,292
  4. Step 4: Simplify right side
    109,142x = 52,574,821,264
  5. Step 5: Solve for x
    x = 52,574,821,264/109,142
  6. Step 6: Final answer
    x = 481,710.26

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.