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Finding the Third Proportional to 163,256,742 and 355,210,188

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Solution

The third proportional to 163,256,742 and 355,210,188 is: 772,857,991.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,256,742 : 355,210,188 = 355,210,188 : x
  2. Step 2: Convert to fraction form
    163,256,742/355,210,188 = 355,210,188/x
  3. Step 3: Cross multiply
    163,256,742x = 355,210,188 × 355,210,188
  4. Step 4: Simplify right side
    163,256,742x = 126,174,277,658,995,344
  5. Step 5: Solve for x
    x = 126,174,277,658,995,344/163,256,742
  6. Step 6: Final answer
    x = 772,857,991.12

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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.