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Finding the Third Proportional to 133,974,744.75 and 288,477,065.25

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Solution

The third proportional to 133,974,744.75 and 288,477,065.25 is: 621,154,511.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,974,744.75 : 288,477,065.25 = 288,477,065.25 : x
  2. Step 2: Convert to fraction form
    133,974,744.75/288,477,065.25 = 288,477,065.25/x
  3. Step 3: Cross multiply
    133,974,744.75x = 288,477,065.25 × 288,477,065.25
  4. Step 4: Simplify right side
    133,974,744.75x = 83,219,017,175,252,752
  5. Step 5: Solve for x
    x = 83,219,017,175,252,752/133,974,744.75
  6. Step 6: Final answer
    x = 621,154,511.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.