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Finding the Third Proportional to 129,292,712,034 and 302,086,114,620

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Solution

The third proportional to 129,292,712,034 and 302,086,114,620 is: 705,809,470,700.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,292,712,034 : 302,086,114,620 = 302,086,114,620 : x
  2. Step 2: Convert to fraction form
    129,292,712,034/302,086,114,620 = 302,086,114,620/x
  3. Step 3: Cross multiply
    129,292,712,034x = 302,086,114,620 × 302,086,114,620
  4. Step 4: Simplify right side
    129,292,712,034x = 91,256,020,646,207,770,591,232
  5. Step 5: Solve for x
    x = 91,256,020,646,207,770,591,232/129,292,712,034
  6. Step 6: Final answer
    x = 705,809,470,700.95

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.