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Finding the Third Proportional to 159,957,782,994 and 343,988,662,290

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Solution

The third proportional to 159,957,782,994 and 343,988,662,290 is: 739,746,435,398.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,957,782,994 : 343,988,662,290 = 343,988,662,290 : x
  2. Step 2: Convert to fraction form
    159,957,782,994/343,988,662,290 = 343,988,662,290/x
  3. Step 3: Cross multiply
    159,957,782,994x = 343,988,662,290 × 343,988,662,290
  4. Step 4: Simplify right side
    159,957,782,994x = 118,328,199,784,063,674,875,904
  5. Step 5: Solve for x
    x = 118,328,199,784,063,674,875,904/159,957,782,994
  6. Step 6: Final answer
    x = 739,746,435,398.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.