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Finding the Third Proportional to 152,922,662,914 and 239,890,534,098

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Solution

The third proportional to 152,922,662,914 and 239,890,534,098 is: 376,317,461,736.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,922,662,914 : 239,890,534,098 = 239,890,534,098 : x
  2. Step 2: Convert to fraction form
    152,922,662,914/239,890,534,098 = 239,890,534,098/x
  3. Step 3: Cross multiply
    152,922,662,914x = 239,890,534,098 × 239,890,534,098
  4. Step 4: Simplify right side
    152,922,662,914x = 57,547,468,349,823,699,124,224
  5. Step 5: Solve for x
    x = 57,547,468,349,823,699,124,224/152,922,662,914
  6. Step 6: Final answer
    x = 376,317,461,736.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.