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Finding the Third Proportional to 61,085,178 and 131,736,294

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Solution

The third proportional to 61,085,178 and 131,736,294 is: 284,102,489.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,085,178 : 131,736,294 = 131,736,294 : x
  2. Step 2: Convert to fraction form
    61,085,178/131,736,294 = 131,736,294/x
  3. Step 3: Cross multiply
    61,085,178x = 131,736,294 × 131,736,294
  4. Step 4: Simplify right side
    61,085,178x = 17,354,451,156,854,436
  5. Step 5: Solve for x
    x = 17,354,451,156,854,436/61,085,178
  6. Step 6: Final answer
    x = 284,102,489.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.