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Finding the Third Proportional to 68,569,248 and 146,437,902

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Solution

The third proportional to 68,569,248 and 146,437,902 is: 312,735,807.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,569,248 : 146,437,902 = 146,437,902 : x
  2. Step 2: Convert to fraction form
    68,569,248/146,437,902 = 146,437,902/x
  3. Step 3: Cross multiply
    68,569,248x = 146,437,902 × 146,437,902
  4. Step 4: Simplify right side
    68,569,248x = 21,444,059,142,161,604
  5. Step 5: Solve for x
    x = 21,444,059,142,161,604/68,569,248
  6. Step 6: Final answer
    x = 312,735,807.49

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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.