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Finding the Third Proportional to 163,257,196 and 355,210,960

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Solution

The third proportional to 163,257,196 and 355,210,960 is: 772,859,201.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,257,196 : 355,210,960 = 355,210,960 : x
  2. Step 2: Convert to fraction form
    163,257,196/355,210,960 = 355,210,960/x
  3. Step 3: Cross multiply
    163,257,196x = 355,210,960 × 355,210,960
  4. Step 4: Simplify right side
    163,257,196x = 126,174,826,104,121,600
  5. Step 5: Solve for x
    x = 126,174,826,104,121,600/163,257,196
  6. Step 6: Final answer
    x = 772,859,201.28

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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.