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Finding the Third Proportional to 100,176,156 and 151,052,574

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Solution

The third proportional to 100,176,156 and 151,052,574 is: 227,767,574.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,176,156 : 151,052,574 = 151,052,574 : x
  2. Step 2: Convert to fraction form
    100,176,156/151,052,574 = 151,052,574/x
  3. Step 3: Cross multiply
    100,176,156x = 151,052,574 × 151,052,574
  4. Step 4: Simplify right side
    100,176,156x = 22,816,880,112,025,476
  5. Step 5: Solve for x
    x = 22,816,880,112,025,476/100,176,156
  6. Step 6: Final answer
    x = 227,767,574.87

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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.