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Finding the Third Proportional to 161,689,442 and 248,530,900

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Solution

The third proportional to 161,689,442 and 248,530,900 is: 382,013,862.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,689,442 : 248,530,900 = 248,530,900 : x
  2. Step 2: Convert to fraction form
    161,689,442/248,530,900 = 248,530,900/x
  3. Step 3: Cross multiply
    161,689,442x = 248,530,900 × 248,530,900
  4. Step 4: Simplify right side
    161,689,442x = 61,767,608,254,810,000
  5. Step 5: Solve for x
    x = 61,767,608,254,810,000/161,689,442
  6. Step 6: Final answer
    x = 382,013,862.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.