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Finding the Third Proportional to 106,834.06 and 233,513.13

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Solution

The third proportional to 106,834.06 and 233,513.13 is: 510,402.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,834.06 : 233,513.13 = 233,513.13 : x
  2. Step 2: Convert to fraction form
    106,834.06/233,513.13 = 233,513.13/x
  3. Step 3: Cross multiply
    106,834.06x = 233,513.13 × 233,513.13
  4. Step 4: Simplify right side
    106,834.06x = 54,528,379,547.27
  5. Step 5: Solve for x
    x = 54,528,379,547.27/106,834.06
  6. Step 6: Final answer
    x = 510,402.57

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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.