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Finding the Third Proportional to 106,281,274.50 and 158,868,600.75

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Solution

The third proportional to 106,281,274.50 and 158,868,600.75 is: 237,475,815.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,281,274.50 : 158,868,600.75 = 158,868,600.75 : x
  2. Step 2: Convert to fraction form
    106,281,274.50/158,868,600.75 = 158,868,600.75/x
  3. Step 3: Cross multiply
    106,281,274.50x = 158,868,600.75 × 158,868,600.75
  4. Step 4: Simplify right side
    106,281,274.50x = 25,239,232,304,262,900
  5. Step 5: Solve for x
    x = 25,239,232,304,262,900/106,281,274.50
  6. Step 6: Final answer
    x = 237,475,815.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.