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Finding the Third Proportional to 102,319,041 and 157,273,371

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Solution

The third proportional to 102,319,041 and 157,273,371 is: 241,743,012.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,319,041 : 157,273,371 = 157,273,371 : x
  2. Step 2: Convert to fraction form
    102,319,041/157,273,371 = 157,273,371/x
  3. Step 3: Cross multiply
    102,319,041x = 157,273,371 × 157,273,371
  4. Step 4: Simplify right side
    102,319,041x = 24,734,913,225,703,640
  5. Step 5: Solve for x
    x = 24,734,913,225,703,640/102,319,041
  6. Step 6: Final answer
    x = 241,743,012.68

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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.