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Finding the Third Proportional to 106,547.91 and 233,128.13

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Solution

The third proportional to 106,547.91 and 233,128.13 is: 510,087.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,547.91 : 233,128.13 = 233,128.13 : x
  2. Step 2: Convert to fraction form
    106,547.91/233,128.13 = 233,128.13/x
  3. Step 3: Cross multiply
    106,547.91x = 233,128.13 × 233,128.13
  4. Step 4: Simplify right side
    106,547.91x = 54,348,722,666.02
  5. Step 5: Solve for x
    x = 54,348,722,666.02/106,547.91
  6. Step 6: Final answer
    x = 510,087.20

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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.