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Finding the Third Proportional to 106,437.38 and 151,814.25

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Solution

The third proportional to 106,437.38 and 151,814.25 is: 216,536.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,437.38 : 151,814.25 = 151,814.25 : x
  2. Step 2: Convert to fraction form
    106,437.38/151,814.25 = 151,814.25/x
  3. Step 3: Cross multiply
    106,437.38x = 151,814.25 × 151,814.25
  4. Step 4: Simplify right side
    106,437.38x = 23,047,566,503.06
  5. Step 5: Solve for x
    x = 23,047,566,503.06/106,437.38
  6. Step 6: Final answer
    x = 216,536.40

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.