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Finding the Third Proportional to 157,465,159 and 343,583,582

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Solution

The third proportional to 157,465,159 and 343,583,582 is: 749,687,604.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,465,159 : 343,583,582 = 343,583,582 : x
  2. Step 2: Convert to fraction form
    157,465,159/343,583,582 = 343,583,582/x
  3. Step 3: Cross multiply
    157,465,159x = 343,583,582 × 343,583,582
  4. Step 4: Simplify right side
    157,465,159x = 118,049,677,819,950,720
  5. Step 5: Solve for x
    x = 118,049,677,819,950,720/157,465,159
  6. Step 6: Final answer
    x = 749,687,604.35

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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.