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Finding the Third Proportional to 107,312.06 and 233,092.13

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Solution

The third proportional to 107,312.06 and 233,092.13 is: 506,298.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,312.06 : 233,092.13 = 233,092.13 : x
  2. Step 2: Convert to fraction form
    107,312.06/233,092.13 = 233,092.13/x
  3. Step 3: Cross multiply
    107,312.06x = 233,092.13 × 233,092.13
  4. Step 4: Simplify right side
    107,312.06x = 54,331,938,737.02
  5. Step 5: Solve for x
    x = 54,331,938,737.02/107,312.06
  6. Step 6: Final answer
    x = 506,298.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.