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Finding the Third Proportional to 199,532,184,707 and 413,207,908,770

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Solution

The third proportional to 199,532,184,707 and 413,207,908,770 is: 855,705,439,805.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,532,184,707 : 413,207,908,770 = 413,207,908,770 : x
  2. Step 2: Convert to fraction form
    199,532,184,707/413,207,908,770 = 413,207,908,770/x
  3. Step 3: Cross multiply
    199,532,184,707x = 413,207,908,770 × 413,207,908,770
  4. Step 4: Simplify right side
    199,532,184,707x = 170,740,775,870,076,651,831,296
  5. Step 5: Solve for x
    x = 170,740,775,870,076,651,831,296/199,532,184,707
  6. Step 6: Final answer
    x = 855,705,439,805.61

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.