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Finding the Third Proportional to 288,235,160 and 446,139,588

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Solution

The third proportional to 288,235,160 and 446,139,588 is: 690,549,105.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,235,160 : 446,139,588 = 446,139,588 : x
  2. Step 2: Convert to fraction form
    288,235,160/446,139,588 = 446,139,588/x
  3. Step 3: Cross multiply
    288,235,160x = 446,139,588 × 446,139,588
  4. Step 4: Simplify right side
    288,235,160x = 199,040,531,980,809,728
  5. Step 5: Solve for x
    x = 199,040,531,980,809,728/288,235,160
  6. Step 6: Final answer
    x = 690,549,105.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.