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Finding the Third Proportional to 109,104,788.25 and 164,791,413

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Solution

The third proportional to 109,104,788.25 and 164,791,413 is: 248,900,256.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,104,788.25 : 164,791,413 = 164,791,413 : x
  2. Step 2: Convert to fraction form
    109,104,788.25/164,791,413 = 164,791,413/x
  3. Step 3: Cross multiply
    109,104,788.25x = 164,791,413 × 164,791,413
  4. Step 4: Simplify right side
    109,104,788.25x = 27,156,209,798,536,568
  5. Step 5: Solve for x
    x = 27,156,209,798,536,568/109,104,788.25
  6. Step 6: Final answer
    x = 248,900,256.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.