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Finding the Third Proportional to 68,484,073.72 and 146,664,900.44

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Solution

The third proportional to 68,484,073.72 and 146,664,900.44 is: 314,096,283.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,484,073.72 : 146,664,900.44 = 146,664,900.44 : x
  2. Step 2: Convert to fraction form
    68,484,073.72/146,664,900.44 = 146,664,900.44/x
  3. Step 3: Cross multiply
    68,484,073.72x = 146,664,900.44 × 146,664,900.44
  4. Step 4: Simplify right side
    68,484,073.72x = 21,510,593,020,341,788
  5. Step 5: Solve for x
    x = 21,510,593,020,341,788/68,484,073.72
  6. Step 6: Final answer
    x = 314,096,283.30

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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.