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Finding the Third Proportional to 118,382,385,963 and 171,042,104,416

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Solution

The third proportional to 118,382,385,963 and 171,042,104,416 is: 247,126,303,842.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,382,385,963 : 171,042,104,416 = 171,042,104,416 : x
  2. Step 2: Convert to fraction form
    118,382,385,963/171,042,104,416 = 171,042,104,416/x
  3. Step 3: Cross multiply
    118,382,385,963x = 171,042,104,416 × 171,042,104,416
  4. Step 4: Simplify right side
    118,382,385,963x = 29,255,401,483,053,844,922,368
  5. Step 5: Solve for x
    x = 29,255,401,483,053,844,922,368/118,382,385,963
  6. Step 6: Final answer
    x = 247,126,303,842.17

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.