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Finding the Third Proportional to 108,155,384,838 and 158,993,213,614.50

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Solution

The third proportional to 108,155,384,838 and 158,993,213,614.50 is: 233,727,077,143.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,155,384,838 : 158,993,213,614.50 = 158,993,213,614.50 : x
  2. Step 2: Convert to fraction form
    108,155,384,838/158,993,213,614.50 = 158,993,213,614.50/x
  3. Step 3: Cross multiply
    108,155,384,838x = 158,993,213,614.50 × 158,993,213,614.50
  4. Step 4: Simplify right side
    108,155,384,838x = 25,278,841,975,466,029,481,984
  5. Step 5: Solve for x
    x = 25,278,841,975,466,029,481,984/108,155,384,838
  6. Step 6: Final answer
    x = 233,727,077,143.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.