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Finding the Third Proportional to 149,774,669,058 and 320,756,136,927

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Solution

The third proportional to 149,774,669,058 and 320,756,136,927 is: 686,928,570,922.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,774,669,058 : 320,756,136,927 = 320,756,136,927 : x
  2. Step 2: Convert to fraction form
    149,774,669,058/320,756,136,927 = 320,756,136,927/x
  3. Step 3: Cross multiply
    149,774,669,058x = 320,756,136,927 × 320,756,136,927
  4. Step 4: Simplify right side
    149,774,669,058x = 102,884,499,376,332,366,413,824
  5. Step 5: Solve for x
    x = 102,884,499,376,332,366,413,824/149,774,669,058
  6. Step 6: Final answer
    x = 686,928,570,922.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.