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Finding the Third Proportional to 83,599,243 and 129,126,430

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Solution

The third proportional to 83,599,243 and 129,126,430 is: 199,447,199.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,599,243 : 129,126,430 = 129,126,430 : x
  2. Step 2: Convert to fraction form
    83,599,243/129,126,430 = 129,126,430/x
  3. Step 3: Cross multiply
    83,599,243x = 129,126,430 × 129,126,430
  4. Step 4: Simplify right side
    83,599,243x = 16,673,634,924,544,900
  5. Step 5: Solve for x
    x = 16,673,634,924,544,900/83,599,243
  6. Step 6: Final answer
    x = 199,447,199.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.