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Finding the Third Proportional to 150,813,360 and 230,602,680

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Solution

The third proportional to 150,813,360 and 230,602,680 is: 352,605,339.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,813,360 : 230,602,680 = 230,602,680 : x
  2. Step 2: Convert to fraction form
    150,813,360/230,602,680 = 230,602,680/x
  3. Step 3: Cross multiply
    150,813,360x = 230,602,680 × 230,602,680
  4. Step 4: Simplify right side
    150,813,360x = 53,177,596,023,182,400
  5. Step 5: Solve for x
    x = 53,177,596,023,182,400/150,813,360
  6. Step 6: Final answer
    x = 352,605,339.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.