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Finding the Third Proportional to 102,328,728 and 157,445,377

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Solution

The third proportional to 102,328,728 and 157,445,377 is: 242,249,143.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,328,728 : 157,445,377 = 157,445,377 : x
  2. Step 2: Convert to fraction form
    102,328,728/157,445,377 = 157,445,377/x
  3. Step 3: Cross multiply
    102,328,728x = 157,445,377 × 157,445,377
  4. Step 4: Simplify right side
    102,328,728x = 24,789,046,738,672,128
  5. Step 5: Solve for x
    x = 24,789,046,738,672,128/102,328,728
  6. Step 6: Final answer
    x = 242,249,143.75

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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.