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Finding the Third Proportional to 107,959,537 and 233,121,697

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Solution

The third proportional to 107,959,537 and 233,121,697 is: 503,389,761.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,959,537 : 233,121,697 = 233,121,697 : x
  2. Step 2: Convert to fraction form
    107,959,537/233,121,697 = 233,121,697/x
  3. Step 3: Cross multiply
    107,959,537x = 233,121,697 × 233,121,697
  4. Step 4: Simplify right side
    107,959,537x = 54,345,725,612,159,808
  5. Step 5: Solve for x
    x = 54,345,725,612,159,808/107,959,537
  6. Step 6: Final answer
    x = 503,389,761.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.