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Finding the Third Proportional to 257,918,391 and 544,948,182

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Solution

The third proportional to 257,918,391 and 544,948,182 is: 1,151,404,984.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,918,391 : 544,948,182 = 544,948,182 : x
  2. Step 2: Convert to fraction form
    257,918,391/544,948,182 = 544,948,182/x
  3. Step 3: Cross multiply
    257,918,391x = 544,948,182 × 544,948,182
  4. Step 4: Simplify right side
    257,918,391x = 296,968,521,065,105,152
  5. Step 5: Solve for x
    x = 296,968,521,065,105,152/257,918,391
  6. Step 6: Final answer
    x = 1,151,404,984.78

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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.