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Finding the Third Proportional to 149,710,365 and 327,641,211

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Solution

The third proportional to 149,710,365 and 327,641,211 is: 717,042,959.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,710,365 : 327,641,211 = 327,641,211 : x
  2. Step 2: Convert to fraction form
    149,710,365/327,641,211 = 327,641,211/x
  3. Step 3: Cross multiply
    149,710,365x = 327,641,211 × 327,641,211
  4. Step 4: Simplify right side
    149,710,365x = 107,348,763,145,546,528
  5. Step 5: Solve for x
    x = 107,348,763,145,546,528/149,710,365
  6. Step 6: Final answer
    x = 717,042,959.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.