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Finding the Third Proportional to 100,176,190 and 151,052,614

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Solution

The third proportional to 100,176,190 and 151,052,614 is: 227,767,618.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,176,190 : 151,052,614 = 151,052,614 : x
  2. Step 2: Convert to fraction form
    100,176,190/151,052,614 = 151,052,614/x
  3. Step 3: Cross multiply
    100,176,190x = 151,052,614 × 151,052,614
  4. Step 4: Simplify right side
    100,176,190x = 22,816,892,196,232,996
  5. Step 5: Solve for x
    x = 22,816,892,196,232,996/100,176,190
  6. Step 6: Final answer
    x = 227,767,618.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.