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Finding the Third Proportional to 84,964,569 and 131,200,154

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Solution

The third proportional to 84,964,569 and 131,200,154 is: 202,595,983.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,964,569 : 131,200,154 = 131,200,154 : x
  2. Step 2: Convert to fraction form
    84,964,569/131,200,154 = 131,200,154/x
  3. Step 3: Cross multiply
    84,964,569x = 131,200,154 × 131,200,154
  4. Step 4: Simplify right side
    84,964,569x = 17,213,480,409,623,716
  5. Step 5: Solve for x
    x = 17,213,480,409,623,716/84,964,569
  6. Step 6: Final answer
    x = 202,595,983.39

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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.