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Finding the Third Proportional to 165,929,407 and 239,010,814.50

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Solution

The third proportional to 165,929,407 and 239,010,814.50 is: 344,279,959.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,929,407 : 239,010,814.50 = 239,010,814.50 : x
  2. Step 2: Convert to fraction form
    165,929,407/239,010,814.50 = 239,010,814.50/x
  3. Step 3: Cross multiply
    165,929,407x = 239,010,814.50 × 239,010,814.50
  4. Step 4: Simplify right side
    165,929,407x = 57,126,169,447,953,408
  5. Step 5: Solve for x
    x = 57,126,169,447,953,408/165,929,407
  6. Step 6: Final answer
    x = 344,279,959.05

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.