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Finding the Third Proportional to 157,465,162 and 343,583,587

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Solution

The third proportional to 157,465,162 and 343,583,587 is: 749,687,611.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,465,162 : 343,583,587 = 343,583,587 : x
  2. Step 2: Convert to fraction form
    157,465,162/343,583,587 = 343,583,587/x
  3. Step 3: Cross multiply
    157,465,162x = 343,583,587 × 343,583,587
  4. Step 4: Simplify right side
    157,465,162x = 118,049,681,255,786,576
  5. Step 5: Solve for x
    x = 118,049,681,255,786,576/157,465,162
  6. Step 6: Final answer
    x = 749,687,611.89

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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.