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Finding the Third Proportional to 91,210,823 and 141,351,662

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Solution

The third proportional to 91,210,823 and 141,351,662 is: 219,056,156.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,210,823 : 141,351,662 = 141,351,662 : x
  2. Step 2: Convert to fraction form
    91,210,823/141,351,662 = 141,351,662/x
  3. Step 3: Cross multiply
    91,210,823x = 141,351,662 × 141,351,662
  4. Step 4: Simplify right side
    91,210,823x = 19,980,292,350,162,244
  5. Step 5: Solve for x
    x = 19,980,292,350,162,244/91,210,823
  6. Step 6: Final answer
    x = 219,056,156.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.