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Finding the Third Proportional to 150,815,382 and 230,606,037

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Solution

The third proportional to 150,815,382 and 230,606,037 is: 352,610,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,815,382 : 230,606,037 = 230,606,037 : x
  2. Step 2: Convert to fraction form
    150,815,382/230,606,037 = 230,606,037/x
  3. Step 3: Cross multiply
    150,815,382x = 230,606,037 × 230,606,037
  4. Step 4: Simplify right side
    150,815,382x = 53,179,144,300,845,368
  5. Step 5: Solve for x
    x = 53,179,144,300,845,368/150,815,382
  6. Step 6: Final answer
    x = 352,610,878.25

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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.