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Finding the Third Proportional to 157,465,166 and 343,583,595

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Solution

The third proportional to 157,465,166 and 343,583,595 is: 749,687,627.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,465,166 : 343,583,595 = 343,583,595 : x
  2. Step 2: Convert to fraction form
    157,465,166/343,583,595 = 343,583,595/x
  3. Step 3: Cross multiply
    157,465,166x = 343,583,595 × 343,583,595
  4. Step 4: Simplify right side
    157,465,166x = 118,049,686,753,124,032
  5. Step 5: Solve for x
    x = 118,049,686,753,124,032/157,465,166
  6. Step 6: Final answer
    x = 749,687,627.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.