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Finding the Third Proportional to 289,897,191 and 439,065,598.50

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Solution

The third proportional to 289,897,191 and 439,065,598.50 is: 664,989,540.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,897,191 : 439,065,598.50 = 439,065,598.50 : x
  2. Step 2: Convert to fraction form
    289,897,191/439,065,598.50 = 439,065,598.50/x
  3. Step 3: Cross multiply
    289,897,191x = 439,065,598.50 × 439,065,598.50
  4. Step 4: Simplify right side
    289,897,191x = 192,778,599,786,163,200
  5. Step 5: Solve for x
    x = 192,778,599,786,163,200/289,897,191
  6. Step 6: Final answer
    x = 664,989,540.33

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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.