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Finding the Third Proportional to 132,563,520 and 288,073,152

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Solution

The third proportional to 132,563,520 and 288,073,152 is: 626,010,390.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,563,520 : 288,073,152 = 288,073,152 : x
  2. Step 2: Convert to fraction form
    132,563,520/288,073,152 = 288,073,152/x
  3. Step 3: Cross multiply
    132,563,520x = 288,073,152 × 288,073,152
  4. Step 4: Simplify right side
    132,563,520x = 82,986,140,903,215,104
  5. Step 5: Solve for x
    x = 82,986,140,903,215,104/132,563,520
  6. Step 6: Final answer
    x = 626,010,390.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.