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Finding the Third Proportional to 163,256,673 and 355,210,065

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Solution

The third proportional to 163,256,673 and 355,210,065 is: 772,857,782.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,256,673 : 355,210,065 = 355,210,065 : x
  2. Step 2: Convert to fraction form
    163,256,673/355,210,065 = 355,210,065/x
  3. Step 3: Cross multiply
    163,256,673x = 355,210,065 × 355,210,065
  4. Step 4: Simplify right side
    163,256,673x = 126,174,190,277,304,224
  5. Step 5: Solve for x
    x = 126,174,190,277,304,224/163,256,673
  6. Step 6: Final answer
    x = 772,857,782.53

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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.