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Finding the Third Proportional to 242,769,387 and 354,937,332

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Solution

The third proportional to 242,769,387 and 354,937,332 is: 518,930,789.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,769,387 : 354,937,332 = 354,937,332 : x
  2. Step 2: Convert to fraction form
    242,769,387/354,937,332 = 354,937,332/x
  3. Step 3: Cross multiply
    242,769,387x = 354,937,332 × 354,937,332
  4. Step 4: Simplify right side
    242,769,387x = 125,980,509,647,278,224
  5. Step 5: Solve for x
    x = 125,980,509,647,278,224/242,769,387
  6. Step 6: Final answer
    x = 518,930,789.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.