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Finding the Third Proportional to 163,257,184 and 355,210,936

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Solution

The third proportional to 163,257,184 and 355,210,936 is: 772,859,153.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,257,184 : 355,210,936 = 355,210,936 : x
  2. Step 2: Convert to fraction form
    163,257,184/355,210,936 = 355,210,936/x
  3. Step 3: Cross multiply
    163,257,184x = 355,210,936 × 355,210,936
  4. Step 4: Simplify right side
    163,257,184x = 126,174,809,053,996,096
  5. Step 5: Solve for x
    x = 126,174,809,053,996,096/163,257,184
  6. Step 6: Final answer
    x = 772,859,153.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.