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Finding the Third Proportional to 150,302,034 and 232,725,904.50

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Solution

The third proportional to 150,302,034 and 232,725,904.50 is: 360,350,057.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,302,034 : 232,725,904.50 = 232,725,904.50 : x
  2. Step 2: Convert to fraction form
    150,302,034/232,725,904.50 = 232,725,904.50/x
  3. Step 3: Cross multiply
    150,302,034x = 232,725,904.50 × 232,725,904.50
  4. Step 4: Simplify right side
    150,302,034x = 54,161,346,625,343,120
  5. Step 5: Solve for x
    x = 54,161,346,625,343,120/150,302,034
  6. Step 6: Final answer
    x = 360,350,057.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.