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Finding the Third Proportional to 68,484,076 and 146,664,905

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Solution

The third proportional to 68,484,076 and 146,664,905 is: 314,096,292.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,484,076 : 146,664,905 = 146,664,905 : x
  2. Step 2: Convert to fraction form
    68,484,076/146,664,905 = 146,664,905/x
  3. Step 3: Cross multiply
    68,484,076x = 146,664,905 × 146,664,905
  4. Step 4: Simplify right side
    68,484,076x = 21,510,594,358,659,024
  5. Step 5: Solve for x
    x = 21,510,594,358,659,024/68,484,076
  6. Step 6: Final answer
    x = 314,096,292.38

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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.