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Finding the Third Proportional to 106,078,248 and 158,464,074.09

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Solution

The third proportional to 106,078,248 and 158,464,074.09 is: 236,720,187.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,078,248 : 158,464,074.09 = 158,464,074.09 : x
  2. Step 2: Convert to fraction form
    106,078,248/158,464,074.09 = 158,464,074.09/x
  3. Step 3: Cross multiply
    106,078,248x = 158,464,074.09 × 158,464,074.09
  4. Step 4: Simplify right side
    106,078,248x = 25,110,862,778,389,488
  5. Step 5: Solve for x
    x = 25,110,862,778,389,488/106,078,248
  6. Step 6: Final answer
    x = 236,720,187.71

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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.