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Finding the Third Proportional to 74,084,214.75 and 164,732,489.63

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Solution

The third proportional to 74,084,214.75 and 164,732,489.63 is: 366,296,561.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,084,214.75 : 164,732,489.63 = 164,732,489.63 : x
  2. Step 2: Convert to fraction form
    74,084,214.75/164,732,489.63 = 164,732,489.63/x
  3. Step 3: Cross multiply
    74,084,214.75x = 164,732,489.63 × 164,732,489.63
  4. Step 4: Simplify right side
    74,084,214.75x = 27,136,793,138,050,732
  5. Step 5: Solve for x
    x = 27,136,793,138,050,732/74,084,214.75
  6. Step 6: Final answer
    x = 366,296,561.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.