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Finding the Third Proportional to 175,924,260 and 231,343,758

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Solution

The third proportional to 175,924,260 and 231,343,758 is: 304,221,455.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,924,260 : 231,343,758 = 231,343,758 : x
  2. Step 2: Convert to fraction form
    175,924,260/231,343,758 = 231,343,758/x
  3. Step 3: Cross multiply
    175,924,260x = 231,343,758 × 231,343,758
  4. Step 4: Simplify right side
    175,924,260x = 53,519,934,365,562,560
  5. Step 5: Solve for x
    x = 53,519,934,365,562,560/175,924,260
  6. Step 6: Final answer
    x = 304,221,455.11

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.