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Finding the Third Proportional to 68,955,484 and 146,316,708

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Solution

The third proportional to 68,955,484 and 146,316,708 is: 310,469,563.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,955,484 : 146,316,708 = 146,316,708 : x
  2. Step 2: Convert to fraction form
    68,955,484/146,316,708 = 146,316,708/x
  3. Step 3: Cross multiply
    68,955,484x = 146,316,708 × 146,316,708
  4. Step 4: Simplify right side
    68,955,484x = 21,408,579,039,957,264
  5. Step 5: Solve for x
    x = 21,408,579,039,957,264/68,955,484
  6. Step 6: Final answer
    x = 310,469,563.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.