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Finding the Third Proportional to 155,210,461 and 337,977,121

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Solution

The third proportional to 155,210,461 and 337,977,121 is: 735,958,991.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,210,461 : 337,977,121 = 337,977,121 : x
  2. Step 2: Convert to fraction form
    155,210,461/337,977,121 = 337,977,121/x
  3. Step 3: Cross multiply
    155,210,461x = 337,977,121 × 337,977,121
  4. Step 4: Simplify right side
    155,210,461x = 114,228,534,319,448,640
  5. Step 5: Solve for x
    x = 114,228,534,319,448,640/155,210,461
  6. Step 6: Final answer
    x = 735,958,991.32

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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.