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Finding the Third Proportional to 257,918,351.06 and 544,948,101.56

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Solution

The third proportional to 257,918,351.06 and 544,948,101.56 is: 1,151,404,823.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,918,351.06 : 544,948,101.56 = 544,948,101.56 : x
  2. Step 2: Convert to fraction form
    257,918,351.06/544,948,101.56 = 544,948,101.56/x
  3. Step 3: Cross multiply
    257,918,351.06x = 544,948,101.56 × 544,948,101.56
  4. Step 4: Simplify right side
    257,918,351.06x = 296,968,433,396,572,800
  5. Step 5: Solve for x
    x = 296,968,433,396,572,800/257,918,351.06
  6. Step 6: Final answer
    x = 1,151,404,823.17

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Why These Related Problems?

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