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Finding the Third Proportional to 163,256,649.75 and 355,210,020

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Solution

The third proportional to 163,256,649.75 and 355,210,020 is: 772,857,696.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,256,649.75 : 355,210,020 = 355,210,020 : x
  2. Step 2: Convert to fraction form
    163,256,649.75/355,210,020 = 355,210,020/x
  3. Step 3: Cross multiply
    163,256,649.75x = 355,210,020 × 355,210,020
  4. Step 4: Simplify right side
    163,256,649.75x = 126,174,158,308,400,400
  5. Step 5: Solve for x
    x = 126,174,158,308,400,400/163,256,649.75
  6. Step 6: Final answer
    x = 772,857,696.77

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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.