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Finding the Third Proportional to 138,619,027,184 and 303,812,230,136

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Solution

The third proportional to 138,619,027,184 and 303,812,230,136 is: 665,867,255,421.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,619,027,184 : 303,812,230,136 = 303,812,230,136 : x
  2. Step 2: Convert to fraction form
    138,619,027,184/303,812,230,136 = 303,812,230,136/x
  3. Step 3: Cross multiply
    138,619,027,184x = 303,812,230,136 × 303,812,230,136
  4. Step 4: Simplify right side
    138,619,027,184x = 92,301,871,180,209,824,202,752
  5. Step 5: Solve for x
    x = 92,301,871,180,209,824,202,752/138,619,027,184
  6. Step 6: Final answer
    x = 665,867,255,421.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.