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Finding the Third Proportional to 140,595,984 and 288,041,652

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Solution

The third proportional to 140,595,984 and 288,041,652 is: 590,116,381.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,595,984 : 288,041,652 = 288,041,652 : x
  2. Step 2: Convert to fraction form
    140,595,984/288,041,652 = 288,041,652/x
  3. Step 3: Cross multiply
    140,595,984x = 288,041,652 × 288,041,652
  4. Step 4: Simplify right side
    140,595,984x = 82,967,993,286,889,104
  5. Step 5: Solve for x
    x = 82,967,993,286,889,104/140,595,984
  6. Step 6: Final answer
    x = 590,116,381.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.