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Finding the Third Proportional to 114,937,402 and 172,237,972

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Solution

The third proportional to 114,937,402 and 172,237,972 is: 258,105,007.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,937,402 : 172,237,972 = 172,237,972 : x
  2. Step 2: Convert to fraction form
    114,937,402/172,237,972 = 172,237,972/x
  3. Step 3: Cross multiply
    114,937,402x = 172,237,972 × 172,237,972
  4. Step 4: Simplify right side
    114,937,402x = 29,665,918,998,672,784
  5. Step 5: Solve for x
    x = 29,665,918,998,672,784/114,937,402
  6. Step 6: Final answer
    x = 258,105,007.44

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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.