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Finding the Third Proportional to 106,078,252.50 and 158,464,080

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Solution

The third proportional to 106,078,252.50 and 158,464,080 is: 236,720,195.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,078,252.50 : 158,464,080 = 158,464,080 : x
  2. Step 2: Convert to fraction form
    106,078,252.50/158,464,080 = 158,464,080/x
  3. Step 3: Cross multiply
    106,078,252.50x = 158,464,080 × 158,464,080
  4. Step 4: Simplify right side
    106,078,252.50x = 25,110,864,650,246,400
  5. Step 5: Solve for x
    x = 25,110,864,650,246,400/106,078,252.50
  6. Step 6: Final answer
    x = 236,720,195.31

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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.