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Finding the Third Proportional to 257,918,351.06 and 544,948,102.69

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Solution

The third proportional to 257,918,351.06 and 544,948,102.69 is: 1,151,404,827.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,918,351.06 : 544,948,102.69 = 544,948,102.69 : x
  2. Step 2: Convert to fraction form
    257,918,351.06/544,948,102.69 = 544,948,102.69/x
  3. Step 3: Cross multiply
    257,918,351.06x = 544,948,102.69 × 544,948,102.69
  4. Step 4: Simplify right side
    257,918,351.06x = 296,968,434,622,706,048
  5. Step 5: Solve for x
    x = 296,968,434,622,706,048/257,918,351.06
  6. Step 6: Final answer
    x = 1,151,404,827.92

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.