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Finding the Third Proportional to 105,276,544 and 157,038,592

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Solution

The third proportional to 105,276,544 and 157,038,592 is: 234,250,844.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,276,544 : 157,038,592 = 157,038,592 : x
  2. Step 2: Convert to fraction form
    105,276,544/157,038,592 = 157,038,592/x
  3. Step 3: Cross multiply
    105,276,544x = 157,038,592 × 157,038,592
  4. Step 4: Simplify right side
    105,276,544x = 24,661,119,377,342,464
  5. Step 5: Solve for x
    x = 24,661,119,377,342,464/105,276,544
  6. Step 6: Final answer
    x = 234,250,844.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.