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Finding the Third Proportional to 242,245,540 and 531,390,338

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Solution

The third proportional to 242,245,540 and 531,390,338 is: 1,165,658,989.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,245,540 : 531,390,338 = 531,390,338 : x
  2. Step 2: Convert to fraction form
    242,245,540/531,390,338 = 531,390,338/x
  3. Step 3: Cross multiply
    242,245,540x = 531,390,338 × 531,390,338
  4. Step 4: Simplify right side
    242,245,540x = 282,375,691,319,754,240
  5. Step 5: Solve for x
    x = 282,375,691,319,754,240/242,245,540
  6. Step 6: Final answer
    x = 1,165,658,989.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.