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Finding the Third Proportional to 111,547.13 and 217,490.06

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Solution

The third proportional to 111,547.13 and 217,490.06 is: 424,053.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,547.13 : 217,490.06 = 217,490.06 : x
  2. Step 2: Convert to fraction form
    111,547.13/217,490.06 = 217,490.06/x
  3. Step 3: Cross multiply
    111,547.13x = 217,490.06 × 217,490.06
  4. Step 4: Simplify right side
    111,547.13x = 47,301,927,286.25
  5. Step 5: Solve for x
    x = 47,301,927,286.25/111,547.13
  6. Step 6: Final answer
    x = 424,053.31

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.