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Finding the Third Proportional to 106,448.06 and 232,488.56

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Solution

The third proportional to 106,448.06 and 232,488.56 is: 507,768.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,448.06 : 232,488.56 = 232,488.56 : x
  2. Step 2: Convert to fraction form
    106,448.06/232,488.56 = 232,488.56/x
  3. Step 3: Cross multiply
    106,448.06x = 232,488.56 × 232,488.56
  4. Step 4: Simplify right side
    106,448.06x = 54,050,931,693.32
  5. Step 5: Solve for x
    x = 54,050,931,693.32/106,448.06
  6. Step 6: Final answer
    x = 507,768.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.