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Finding the Third Proportional to 70,988,687.44 and 106,199,254.69

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Solution

The third proportional to 70,988,687.44 and 106,199,254.69 is: 158,874,351.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,988,687.44 : 106,199,254.69 = 106,199,254.69 : x
  2. Step 2: Convert to fraction form
    70,988,687.44/106,199,254.69 = 106,199,254.69/x
  3. Step 3: Cross multiply
    70,988,687.44x = 106,199,254.69 × 106,199,254.69
  4. Step 4: Simplify right side
    70,988,687.44x = 11,278,281,696,180,490
  5. Step 5: Solve for x
    x = 11,278,281,696,180,490/70,988,687.44
  6. Step 6: Final answer
    x = 158,874,351.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.