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Finding the Third Proportional to 155,210,460 and 337,977,119

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Solution

The third proportional to 155,210,460 and 337,977,119 is: 735,958,987.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,210,460 : 337,977,119 = 337,977,119 : x
  2. Step 2: Convert to fraction form
    155,210,460/337,977,119 = 337,977,119/x
  3. Step 3: Cross multiply
    155,210,460x = 337,977,119 × 337,977,119
  4. Step 4: Simplify right side
    155,210,460x = 114,228,532,967,540,160
  5. Step 5: Solve for x
    x = 114,228,532,967,540,160/155,210,460
  6. Step 6: Final answer
    x = 735,958,987.35

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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.