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Finding the Third Proportional to 100,176,122 and 151,052,522

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Solution

The third proportional to 100,176,122 and 151,052,522 is: 227,767,495.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,176,122 : 151,052,522 = 151,052,522 : x
  2. Step 2: Convert to fraction form
    100,176,122/151,052,522 = 151,052,522/x
  3. Step 3: Cross multiply
    100,176,122x = 151,052,522 × 151,052,522
  4. Step 4: Simplify right side
    100,176,122x = 22,816,864,402,560,484
  5. Step 5: Solve for x
    x = 22,816,864,402,560,484/100,176,122
  6. Step 6: Final answer
    x = 227,767,495.36

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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.