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Finding the Third Proportional to 172,463,433 and 258,631,807.50

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Solution

The third proportional to 172,463,433 and 258,631,807.50 is: 387,852,721.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,463,433 : 258,631,807.50 = 258,631,807.50 : x
  2. Step 2: Convert to fraction form
    172,463,433/258,631,807.50 = 258,631,807.50/x
  3. Step 3: Cross multiply
    172,463,433x = 258,631,807.50 × 258,631,807.50
  4. Step 4: Simplify right side
    172,463,433x = 66,890,411,850,717,056
  5. Step 5: Solve for x
    x = 66,890,411,850,717,056/172,463,433
  6. Step 6: Final answer
    x = 387,852,721.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.