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Finding the Third Proportional to 242,245,539 and 531,390,336

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Solution

The third proportional to 242,245,539 and 531,390,336 is: 1,165,658,985.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,245,539 : 531,390,336 = 531,390,336 : x
  2. Step 2: Convert to fraction form
    242,245,539/531,390,336 = 531,390,336/x
  3. Step 3: Cross multiply
    242,245,539x = 531,390,336 × 531,390,336
  4. Step 4: Simplify right side
    242,245,539x = 282,375,689,194,192,896
  5. Step 5: Solve for x
    x = 282,375,689,194,192,896/242,245,539
  6. Step 6: Final answer
    x = 1,165,658,985.34

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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.