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Finding the Third Proportional to 100,176,114 and 151,052,509.50

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Solution

The third proportional to 100,176,114 and 151,052,509.50 is: 227,767,475.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,176,114 : 151,052,509.50 = 151,052,509.50 : x
  2. Step 2: Convert to fraction form
    100,176,114/151,052,509.50 = 151,052,509.50/x
  3. Step 3: Cross multiply
    100,176,114x = 151,052,509.50 × 151,052,509.50
  4. Step 4: Simplify right side
    100,176,114x = 22,816,860,626,247,592
  5. Step 5: Solve for x
    x = 22,816,860,626,247,592/100,176,114
  6. Step 6: Final answer
    x = 227,767,475.85

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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.