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Finding the Third Proportional to 157,465,158 and 343,583,580

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Solution

The third proportional to 157,465,158 and 343,583,580 is: 749,687,600.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,465,158 : 343,583,580 = 343,583,580 : x
  2. Step 2: Convert to fraction form
    157,465,158/343,583,580 = 343,583,580/x
  3. Step 3: Cross multiply
    157,465,158x = 343,583,580 × 343,583,580
  4. Step 4: Simplify right side
    157,465,158x = 118,049,676,445,616,400
  5. Step 5: Solve for x
    x = 118,049,676,445,616,400/157,465,158
  6. Step 6: Final answer
    x = 749,687,600.39

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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.