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Finding the Third Proportional to 109,120,230 and 236,402,919

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Solution

The third proportional to 109,120,230 and 236,402,919 is: 512,153,796.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,120,230 : 236,402,919 = 236,402,919 : x
  2. Step 2: Convert to fraction form
    109,120,230/236,402,919 = 236,402,919/x
  3. Step 3: Cross multiply
    109,120,230x = 236,402,919 × 236,402,919
  4. Step 4: Simplify right side
    109,120,230x = 55,886,340,111,720,560
  5. Step 5: Solve for x
    x = 55,886,340,111,720,560/109,120,230
  6. Step 6: Final answer
    x = 512,153,796.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.