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Finding the Third Proportional to 164,402,629 and 361,347,817

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Solution

The third proportional to 164,402,629 and 361,347,817 is: 794,222,365.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,402,629 : 361,347,817 = 361,347,817 : x
  2. Step 2: Convert to fraction form
    164,402,629/361,347,817 = 361,347,817/x
  3. Step 3: Cross multiply
    164,402,629x = 361,347,817 × 361,347,817
  4. Step 4: Simplify right side
    164,402,629x = 130,572,244,850,665,488
  5. Step 5: Solve for x
    x = 130,572,244,850,665,488/164,402,629
  6. Step 6: Final answer
    x = 794,222,365.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.