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Finding the Third Proportional to 61,293,226 and 91,408,314

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Solution

The third proportional to 61,293,226 and 91,408,314 is: 136,319,792.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,293,226 : 91,408,314 = 91,408,314 : x
  2. Step 2: Convert to fraction form
    61,293,226/91,408,314 = 91,408,314/x
  3. Step 3: Cross multiply
    61,293,226x = 91,408,314 × 91,408,314
  4. Step 4: Simplify right side
    61,293,226x = 8,355,479,868,322,596
  5. Step 5: Solve for x
    x = 8,355,479,868,322,596/61,293,226
  6. Step 6: Final answer
    x = 136,319,792.80

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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.