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Finding the Third Proportional to 134,905,297,185 and 299,973,492,664

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Solution

The third proportional to 134,905,297,185 and 299,973,492,664 is: 667,016,775,313.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,905,297,185 : 299,973,492,664 = 299,973,492,664 : x
  2. Step 2: Convert to fraction form
    134,905,297,185/299,973,492,664 = 299,973,492,664/x
  3. Step 3: Cross multiply
    134,905,297,185x = 299,973,492,664 × 299,973,492,664
  4. Step 4: Simplify right side
    134,905,297,185x = 89,984,096,301,038,864,171,008
  5. Step 5: Solve for x
    x = 89,984,096,301,038,864,171,008/134,905,297,185
  6. Step 6: Final answer
    x = 667,016,775,313.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.