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Finding the Third Proportional to 138,806,873,057 and 302,256,056,844

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Solution

The third proportional to 138,806,873,057 and 302,256,056,844 is: 658,171,471,533.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,806,873,057 : 302,256,056,844 = 302,256,056,844 : x
  2. Step 2: Convert to fraction form
    138,806,873,057/302,256,056,844 = 302,256,056,844/x
  3. Step 3: Cross multiply
    138,806,873,057x = 302,256,056,844 × 302,256,056,844
  4. Step 4: Simplify right side
    138,806,873,057x = 91,358,723,898,883,365,142,528
  5. Step 5: Solve for x
    x = 91,358,723,898,883,365,142,528/138,806,873,057
  6. Step 6: Final answer
    x = 658,171,471,533.46

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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.