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Finding the Third Proportional to 105,115 and 229,792

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Solution

The third proportional to 105,115 and 229,792 is: 502,348.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,115 : 229,792 = 229,792 : x
  2. Step 2: Convert to fraction form
    105,115/229,792 = 229,792/x
  3. Step 3: Cross multiply
    105,115x = 229,792 × 229,792
  4. Step 4: Simplify right side
    105,115x = 52,804,363,264
  5. Step 5: Solve for x
    x = 52,804,363,264/105,115
  6. Step 6: Final answer
    x = 502,348.51

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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.