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Finding the Third Proportional to 139,702,131 and 293,882,688

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Solution

The third proportional to 139,702,131 and 293,882,688 is: 618,222,740.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,702,131 : 293,882,688 = 293,882,688 : x
  2. Step 2: Convert to fraction form
    139,702,131/293,882,688 = 293,882,688/x
  3. Step 3: Cross multiply
    139,702,131x = 293,882,688 × 293,882,688
  4. Step 4: Simplify right side
    139,702,131x = 86,367,034,306,105,344
  5. Step 5: Solve for x
    x = 86,367,034,306,105,344/139,702,131
  6. Step 6: Final answer
    x = 618,222,740.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.