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Finding the Third Proportional to 114,935,699.25 and 172,234,998

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Solution

The third proportional to 114,935,699.25 and 172,234,998 is: 258,099,917.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,935,699.25 : 172,234,998 = 172,234,998 : x
  2. Step 2: Convert to fraction form
    114,935,699.25/172,234,998 = 172,234,998/x
  3. Step 3: Cross multiply
    114,935,699.25x = 172,234,998 × 172,234,998
  4. Step 4: Simplify right side
    114,935,699.25x = 29,664,894,536,060,004
  5. Step 5: Solve for x
    x = 29,664,894,536,060,004/114,935,699.25
  6. Step 6: Final answer
    x = 258,099,917.86

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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.