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Finding the Third Proportional to 109,078,785 and 153,059,132.25

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Solution

The third proportional to 109,078,785 and 153,059,132.25 is: 214,772,267.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,078,785 : 153,059,132.25 = 153,059,132.25 : x
  2. Step 2: Convert to fraction form
    109,078,785/153,059,132.25 = 153,059,132.25/x
  3. Step 3: Cross multiply
    109,078,785x = 153,059,132.25 × 153,059,132.25
  4. Step 4: Simplify right side
    109,078,785x = 23,427,097,965,122,992
  5. Step 5: Solve for x
    x = 23,427,097,965,122,992/109,078,785
  6. Step 6: Final answer
    x = 214,772,267.27

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.