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Finding the Third Proportional to 73,177,142 and 159,108,382

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Solution

The third proportional to 73,177,142 and 159,108,382 is: 345,947,881.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,177,142 : 159,108,382 = 159,108,382 : x
  2. Step 2: Convert to fraction form
    73,177,142/159,108,382 = 159,108,382/x
  3. Step 3: Cross multiply
    73,177,142x = 159,108,382 × 159,108,382
  4. Step 4: Simplify right side
    73,177,142x = 25,315,477,222,657,924
  5. Step 5: Solve for x
    x = 25,315,477,222,657,924/73,177,142
  6. Step 6: Final answer
    x = 345,947,881.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.