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Finding the Third Proportional to 102,456,308.25 and 157,385,421

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Solution

The third proportional to 102,456,308.25 and 157,385,421 is: 241,763,256.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,456,308.25 : 157,385,421 = 157,385,421 : x
  2. Step 2: Convert to fraction form
    102,456,308.25/157,385,421 = 157,385,421/x
  3. Step 3: Cross multiply
    102,456,308.25x = 157,385,421 × 157,385,421
  4. Step 4: Simplify right side
    102,456,308.25x = 24,770,170,743,347,240
  5. Step 5: Solve for x
    x = 24,770,170,743,347,240/102,456,308.25
  6. Step 6: Final answer
    x = 241,763,256.62

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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.