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Finding the Third Proportional to 103,011,612 and 223,915,008

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Solution

The third proportional to 103,011,612 and 223,915,008 is: 486,721,155.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,011,612 : 223,915,008 = 223,915,008 : x
  2. Step 2: Convert to fraction form
    103,011,612/223,915,008 = 223,915,008/x
  3. Step 3: Cross multiply
    103,011,612x = 223,915,008 × 223,915,008
  4. Step 4: Simplify right side
    103,011,612x = 50,137,930,807,640,064
  5. Step 5: Solve for x
    x = 50,137,930,807,640,064/103,011,612
  6. Step 6: Final answer
    x = 486,721,155.36

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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.