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Finding the Third Proportional to 102,053,190 and 157,592,112

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Solution

The third proportional to 102,053,190 and 157,592,112 is: 243,356,173.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,053,190 : 157,592,112 = 157,592,112 : x
  2. Step 2: Convert to fraction form
    102,053,190/157,592,112 = 157,592,112/x
  3. Step 3: Cross multiply
    102,053,190x = 157,592,112 × 157,592,112
  4. Step 4: Simplify right side
    102,053,190x = 24,835,273,764,620,544
  5. Step 5: Solve for x
    x = 24,835,273,764,620,544/102,053,190
  6. Step 6: Final answer
    x = 243,356,173.04

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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.